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Mirrors > Home > MPE Home > Th. List > 2div2e1 | Structured version Visualization version GIF version |
Description: 2 divided by 2 is 1. (Contributed by David A. Wheeler, 8-Dec-2018.) |
Ref | Expression |
---|---|
2div2e1 | ⊢ (2 / 2) = 1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2cn 11902 | . 2 ⊢ 2 ∈ ℂ | |
2 | 2ne0 11931 | . 2 ⊢ 2 ≠ 0 | |
3 | 1, 2 | dividi 11562 | 1 ⊢ (2 / 2) = 1 |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1543 (class class class)co 7210 1c1 10727 / cdiv 11486 2c2 11882 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1803 ax-4 1817 ax-5 1918 ax-6 1976 ax-7 2016 ax-8 2112 ax-9 2120 ax-10 2141 ax-11 2158 ax-12 2175 ax-ext 2708 ax-sep 5189 ax-nul 5196 ax-pow 5255 ax-pr 5319 ax-un 7520 ax-resscn 10783 ax-1cn 10784 ax-icn 10785 ax-addcl 10786 ax-addrcl 10787 ax-mulcl 10788 ax-mulrcl 10789 ax-mulcom 10790 ax-addass 10791 ax-mulass 10792 ax-distr 10793 ax-i2m1 10794 ax-1ne0 10795 ax-1rid 10796 ax-rnegex 10797 ax-rrecex 10798 ax-cnre 10799 ax-pre-lttri 10800 ax-pre-lttrn 10801 ax-pre-ltadd 10802 ax-pre-mulgt0 10803 |
This theorem depends on definitions: df-bi 210 df-an 400 df-or 848 df-3or 1090 df-3an 1091 df-tru 1546 df-fal 1556 df-ex 1788 df-nf 1792 df-sb 2071 df-mo 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2816 df-nfc 2886 df-ne 2940 df-nel 3044 df-ral 3063 df-rex 3064 df-reu 3065 df-rmo 3066 df-rab 3067 df-v 3407 df-sbc 3692 df-csb 3809 df-dif 3866 df-un 3868 df-in 3870 df-ss 3880 df-nul 4235 df-if 4437 df-pw 4512 df-sn 4539 df-pr 4541 df-op 4545 df-uni 4817 df-br 5051 df-opab 5113 df-mpt 5133 df-id 5452 df-po 5465 df-so 5466 df-xp 5554 df-rel 5555 df-cnv 5556 df-co 5557 df-dm 5558 df-rn 5559 df-res 5560 df-ima 5561 df-iota 6335 df-fun 6379 df-fn 6380 df-f 6381 df-f1 6382 df-fo 6383 df-f1o 6384 df-fv 6385 df-riota 7167 df-ov 7213 df-oprab 7214 df-mpo 7215 df-er 8388 df-en 8624 df-dom 8625 df-sdom 8626 df-pnf 10866 df-mnf 10867 df-xr 10868 df-ltxr 10869 df-le 10870 df-sub 11061 df-neg 11062 df-div 11487 df-2 11890 |
This theorem is referenced by: 1mhlfehlf 12046 nneo 12258 zeo 12260 fldiv4p1lem1div2 13407 faclbnd2 13854 iseralt 15245 bpoly3 15617 sin02gt0 15750 ovolunlem1a 24390 ang180lem2 25690 cosatan 25801 atantayl2 25818 chtub 26090 lgseisenlem1 26253 2lgslem3b 26275 pntpbnd2 26465 sqsscirc1 31569 imsqrtvalex 40928 sumnnodd 42844 stoweidlem14 43228 dirkertrigeqlem3 43314 fourierswlem 43444 1oddALTV 44813 2evenALTV 44815 |
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