LivelyCity – Switzerland

Explore the World

  • Home
  • Switzerland
  • Travel
  • News
  • Zurich
×
 Posted in Zurich

arithmetic – Formal proof for $(-1) times (-1) = 1$ – Mathematics …

 July 24, 2026

Is there a formal proof for $(-1) \times (-1) = 1$? It’s a fundamental formula not only in arithmetic but also in the whole of math. Is there a proof for it or is it just assumed?

 https://math.stackexchange.com/questions/304422/formal-proof-for-1-times-1-1 

Post navigation

← View Official NRL Stats & NRLW competition stats | NRL.com
Tempo Londres – Previsão de hoje, amanhã e dos próximos 14 dias →

Copyright © 2026 LivelyCity - Switzerland

arithmetic – Formal proof for $(-1) times (-1) = 1$ – Mathematics … <body> <h1> Array ( [0] => zrithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [1] => srithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [2] => writhmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [3] => qrithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [4] => aeithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [5] => adithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [6] => afithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [7] => atithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [8] => a5ithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [9] => a4ithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [10] => aruthmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [11] => arjthmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [12] => arkthmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [13] => arothmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [14] => ar9thmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [15] => ar8thmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [16] => arirhmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [17] => arifhmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [18] => arighmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [19] => ariyhmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [20] => ari6hmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [21] => ari5hmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [22] => aritgmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [23] => aritbmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [24] => aritnmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [25] => aritjmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [26] => aritumetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [27] => aritymetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [28] => arithnetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [29] => arithketic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [30] => arithjetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [31] => arithjetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [32] => arithmwtic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [33] => arithmstic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [34] => arithmdtic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [35] => arithmrtic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [36] => arithm4tic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [37] => arithm3tic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [38] => arithmeric &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [39] => arithmefic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [40] => arithmegic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [41] => arithmeyic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [42] => arithme6ic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [43] => arithme5ic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [44] => arithmetuc &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [45] => arithmetjc &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [46] => arithmetkc &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [47] => arithmetoc &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [48] => arithmet9c &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [49] => arithmet8c &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [50] => arithmetix &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [51] => arithmetiv &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [52] => arithmetif &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [53] => arithmetid &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [54] => arithmetid &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [55] => arithmetic &#7211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [56] => arithmetic &#u211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [57] => arithmetic &#i211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [58] => arithmetic &#9211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [59] => arithmetic &#8111; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [60] => arithmetic &#8q11; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [61] => arithmetic &#8w11; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [62] => arithmetic &#8311; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [63] => arithmetic &#8221; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [64] => arithmetic &#82q1; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [65] => arithmetic &#8212; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [66] => arithmetic &#821q; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [67] => arithmetic &#8211l formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [68] => arithmetic &#8211p formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [69] => arithmetic &#8211. formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [70] => arithmetic &#8211; dormal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [71] => arithmetic &#8211; cormal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [72] => arithmetic &#8211; vormal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [73] => arithmetic &#8211; gormal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [74] => arithmetic &#8211; tormal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [75] => arithmetic &#8211; rormal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [76] => arithmetic &#8211; firmal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [77] => arithmetic &#8211; fkrmal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [78] => arithmetic &#8211; flrmal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [79] => arithmetic &#8211; fprmal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [80] => arithmetic &#8211; f0rmal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [81] => arithmetic &#8211; f9rmal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [82] => arithmetic &#8211; foemal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [83] => arithmetic &#8211; fodmal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [84] => arithmetic &#8211; fofmal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [85] => arithmetic &#8211; fotmal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [86] => arithmetic &#8211; fo5mal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [87] => arithmetic &#8211; fo4mal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [88] => arithmetic &#8211; fornal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [89] => arithmetic &#8211; forkal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [90] => arithmetic &#8211; forjal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [91] => arithmetic &#8211; forjal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [92] => arithmetic &#8211; formzl proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [93] => arithmetic &#8211; formsl proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [94] => arithmetic &#8211; formwl proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [95] => arithmetic &#8211; formql proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [96] => arithmetic &#8211; formak proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [97] => arithmetic &#8211; formap proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [98] => arithmetic &#8211; formao proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [99] => arithmetic &#8211; formal oroof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [100] => arithmetic &#8211; formal lroof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [101] => arithmetic &#8211; formal -roof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [102] => arithmetic &#8211; formal 0roof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [103] => arithmetic &#8211; formal peoof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [104] => arithmetic &#8211; formal pdoof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [105] => arithmetic &#8211; formal pfoof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [106] => arithmetic &#8211; formal ptoof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [107] => arithmetic &#8211; formal p5oof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [108] => arithmetic &#8211; formal p4oof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [109] => arithmetic &#8211; formal priof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [110] => arithmetic &#8211; formal prkof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [111] => arithmetic &#8211; formal prlof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [112] => arithmetic &#8211; formal prpof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [113] => arithmetic &#8211; formal pr0of for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [114] => arithmetic &#8211; formal pr9of for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [115] => arithmetic &#8211; formal proif for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [116] => arithmetic &#8211; formal prokf for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [117] => arithmetic &#8211; formal prolf for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [118] => arithmetic &#8211; formal propf for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [119] => arithmetic &#8211; formal pro0f for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [120] => arithmetic &#8211; formal pro9f for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [121] => arithmetic &#8211; formal prood for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [122] => arithmetic &#8211; formal prooc for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [123] => arithmetic &#8211; formal proov for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [124] => arithmetic &#8211; formal proog for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [125] => arithmetic &#8211; formal proot for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [126] => arithmetic &#8211; formal proor for $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [127] => arithmetic &#8211; formal proof dor $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [128] => arithmetic &#8211; formal proof cor $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [129] => arithmetic &#8211; formal proof vor $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [130] => arithmetic &#8211; formal proof gor $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [131] => arithmetic &#8211; formal proof tor $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [132] => arithmetic &#8211; formal proof ror $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [133] => arithmetic &#8211; formal proof fir $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [134] => arithmetic &#8211; formal proof fkr $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [135] => arithmetic &#8211; formal proof flr $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [136] => arithmetic &#8211; formal proof fpr $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [137] => arithmetic &#8211; formal proof f0r $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [138] => arithmetic &#8211; formal proof f9r $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [139] => arithmetic &#8211; formal proof foe $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [140] => arithmetic &#8211; formal proof fod $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [141] => arithmetic &#8211; formal proof fof $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [142] => arithmetic &#8211; formal proof fot $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [143] => arithmetic &#8211; formal proof fo5 $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [144] => arithmetic &#8211; formal proof fo4 $(-1) times (-1) = 1$ &#8211; mathematics &#8230; [145] => arithmetic &#8211; formal proof for $(=1) times (-1) = 1$ &#8211; mathematics &#8230; [146] => arithmetic &#8211; formal proof for $(01) times (-1) = 1$ &#8211; mathematics &#8230; [147] => arithmetic &#8211; formal proof for $(p1) times (-1) = 1$ &#8211; mathematics &#8230; [148] => arithmetic &#8211; formal proof for $([1) times (-1) = 1$ &#8211; mathematics &#8230; [149] => arithmetic &#8211; formal proof for $(-2) times (-1) = 1$ &#8211; mathematics &#8230; [150] => arithmetic &#8211; formal proof for $(-q) times (-1) = 1$ &#8211; mathematics &#8230; [151] => arithmetic &#8211; formal proof for $(-1) rimes (-1) = 1$ &#8211; mathematics &#8230; [152] => arithmetic &#8211; formal proof for $(-1) fimes (-1) = 1$ &#8211; mathematics &#8230; [153] => arithmetic &#8211; formal proof for $(-1) gimes (-1) = 1$ &#8211; mathematics &#8230; [154] => arithmetic &#8211; formal proof for $(-1) yimes (-1) = 1$ &#8211; mathematics &#8230; [155] => arithmetic &#8211; formal proof for $(-1) 6imes (-1) = 1$ &#8211; mathematics &#8230; [156] => arithmetic &#8211; formal proof for $(-1) 5imes (-1) = 1$ &#8211; mathematics &#8230; [157] => arithmetic &#8211; formal proof for $(-1) tumes (-1) = 1$ &#8211; mathematics &#8230; [158] => arithmetic &#8211; formal proof for $(-1) tjmes (-1) = 1$ &#8211; mathematics &#8230; [159] => arithmetic &#8211; formal proof for $(-1) tkmes (-1) = 1$ &#8211; mathematics &#8230; [160] => arithmetic &#8211; formal proof for $(-1) tomes (-1) = 1$ &#8211; mathematics &#8230; [161] => arithmetic &#8211; formal proof for $(-1) t9mes (-1) = 1$ &#8211; mathematics &#8230; [162] => arithmetic &#8211; formal proof for $(-1) t8mes (-1) = 1$ &#8211; mathematics &#8230; [163] => arithmetic &#8211; formal proof for $(-1) tines (-1) = 1$ &#8211; mathematics &#8230; [164] => arithmetic &#8211; formal proof for $(-1) tikes (-1) = 1$ &#8211; mathematics &#8230; [165] => arithmetic &#8211; formal proof for $(-1) tijes (-1) = 1$ &#8211; mathematics &#8230; [166] => arithmetic &#8211; formal proof for $(-1) tijes (-1) = 1$ &#8211; mathematics &#8230; [167] => arithmetic &#8211; formal proof for $(-1) timws (-1) = 1$ &#8211; mathematics &#8230; [168] => arithmetic &#8211; formal proof for $(-1) timss (-1) = 1$ &#8211; mathematics &#8230; [169] => arithmetic &#8211; formal proof for $(-1) timds (-1) = 1$ &#8211; mathematics &#8230; [170] => arithmetic &#8211; formal proof for $(-1) timrs (-1) = 1$ &#8211; mathematics &#8230; [171] => arithmetic &#8211; formal proof for $(-1) tim4s (-1) = 1$ &#8211; mathematics &#8230; [172] => arithmetic &#8211; formal proof for $(-1) tim3s (-1) = 1$ &#8211; mathematics &#8230; [173] => arithmetic &#8211; formal proof for $(-1) timea (-1) = 1$ &#8211; mathematics &#8230; [174] => arithmetic &#8211; formal proof for $(-1) timez (-1) = 1$ &#8211; mathematics &#8230; [175] => arithmetic &#8211; formal proof for $(-1) timex (-1) = 1$ &#8211; mathematics &#8230; [176] => arithmetic &#8211; formal proof for $(-1) timed (-1) = 1$ &#8211; mathematics &#8230; [177] => arithmetic &#8211; formal proof for $(-1) timee (-1) = 1$ &#8211; mathematics &#8230; [178] => arithmetic &#8211; formal proof for $(-1) timew (-1) = 1$ &#8211; mathematics &#8230; [179] => arithmetic &#8211; formal proof for $(-1) times (=1) = 1$ &#8211; mathematics &#8230; [180] => arithmetic &#8211; formal proof for $(-1) times (01) = 1$ &#8211; mathematics &#8230; [181] => arithmetic &#8211; formal proof for $(-1) times (p1) = 1$ &#8211; mathematics &#8230; [182] => arithmetic &#8211; formal proof for $(-1) times ([1) = 1$ &#8211; mathematics &#8230; [183] => arithmetic &#8211; formal proof for $(-1) times (-2) = 1$ &#8211; mathematics &#8230; [184] => arithmetic &#8211; formal proof for $(-1) times (-q) = 1$ &#8211; mathematics &#8230; [185] => arithmetic &#8211; formal proof for $(-1) times (-1) = 2$ &#8211; mathematics &#8230; [186] => arithmetic &#8211; formal proof for $(-1) times (-1) = q$ &#8211; mathematics &#8230; [187] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#7211; mathematics &#8230; [188] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#u211; mathematics &#8230; [189] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#i211; mathematics &#8230; [190] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#9211; mathematics &#8230; [191] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8111; mathematics &#8230; [192] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8q11; mathematics &#8230; [193] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8w11; mathematics &#8230; [194] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8311; mathematics &#8230; [195] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8221; mathematics &#8230; [196] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#82q1; mathematics &#8230; [197] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8212; mathematics &#8230; [198] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#821q; mathematics &#8230; [199] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211l mathematics &#8230; [200] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211p mathematics &#8230; [201] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211. mathematics &#8230; [202] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; nathematics &#8230; [203] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; kathematics &#8230; [204] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; jathematics &#8230; [205] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; jathematics &#8230; [206] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mzthematics &#8230; [207] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; msthematics &#8230; [208] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mwthematics &#8230; [209] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mqthematics &#8230; [210] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; marhematics &#8230; [211] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mafhematics &#8230; [212] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; maghematics &#8230; [213] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mayhematics &#8230; [214] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; ma6hematics &#8230; [215] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; ma5hematics &#8230; [216] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; matgematics &#8230; [217] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; matbematics &#8230; [218] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; matnematics &#8230; [219] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; matjematics &#8230; [220] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; matuematics &#8230; [221] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; matyematics &#8230; [222] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathwmatics &#8230; [223] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathsmatics &#8230; [224] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathdmatics &#8230; [225] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathrmatics &#8230; [226] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; math4matics &#8230; [227] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; math3matics &#8230; [228] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathenatics &#8230; [229] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathekatics &#8230; [230] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathejatics &#8230; [231] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathejatics &#8230; [232] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemztics &#8230; [233] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemstics &#8230; [234] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemwtics &#8230; [235] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemqtics &#8230; [236] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemarics &#8230; [237] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemafics &#8230; [238] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemagics &#8230; [239] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemayics &#8230; [240] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathema6ics &#8230; [241] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathema5ics &#8230; [242] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematucs &#8230; [243] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematjcs &#8230; [244] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematkcs &#8230; [245] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematocs &#8230; [246] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemat9cs &#8230; [247] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemat8cs &#8230; [248] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematixs &#8230; [249] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathemativs &#8230; [250] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematifs &#8230; [251] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematids &#8230; [252] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematids &#8230; [253] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematica &#8230; [254] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematicz &#8230; [255] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematicx &#8230; [256] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematicd &#8230; [257] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematice &#8230; [258] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematicw &#8230; [259] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#7230; [260] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#u230; [261] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#i230; [262] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#9230; [263] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8130; [264] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8q30; [265] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8w30; [266] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8330; [267] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8220; [268] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#82w0; [269] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#82e0; [270] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8240; [271] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8239; [272] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#823o; [273] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#823p; [274] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#823-; [275] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230l [276] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230p [277] => arithmetic &#8211; formal proof for $(-1) times (-1) = 1$ &#8211; mathematics &#8230. ) </h1> </body>