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Mirrors > Home > ILE Home > Th. List > oveq2i | Unicode version |
Description: Equality inference for operation value. (Contributed by NM, 28-Feb-1995.) |
Ref | Expression |
---|---|
oveq1i.1 |
Ref | Expression |
---|---|
oveq2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oveq1i.1 | . 2 | |
2 | oveq2 5520 | . 2 | |
3 | 1, 2 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1243 (class class class)co 5512 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-3an 887 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-rex 2312 df-v 2559 df-un 2922 df-sn 3381 df-pr 3382 df-op 3384 df-uni 3581 df-br 3765 df-iota 4867 df-fv 4910 df-ov 5515 |
This theorem is referenced by: caov32 5688 oa1suc 6047 nnm1 6097 nnm2 6098 mulidnq 6487 halfnqq 6508 addpinq1 6562 addnqpr1 6660 caucvgprlemm 6766 caucvgprprlemval 6786 caucvgprprlemnbj 6791 caucvgprprlemmu 6793 caucvgprprlemaddq 6806 caucvgprprlem1 6807 caucvgprprlem2 6808 m1p1sr 6845 m1m1sr 6846 0idsr 6852 1idsr 6853 00sr 6854 pn0sr 6856 caucvgsrlemoffres 6884 caucvgsr 6886 mulresr 6914 pitonnlem2 6923 axi2m1 6949 ax1rid 6951 axcnre 6955 add42i 7177 negid 7258 negsub 7259 subneg 7260 negsubdii 7296 apreap 7578 recexaplem2 7633 muleqadd 7649 crap0 7910 2p2e4 8037 3p2e5 8052 3p3e6 8053 4p2e6 8054 4p3e7 8055 4p4e8 8056 5p2e7 8057 5p3e8 8058 5p4e9 8059 5p5e10 8060 6p2e8 8061 6p3e9 8062 6p4e10 8063 7p2e9 8064 7p3e10 8065 8p2e10 8066 3t3e9 8072 8th4div3 8144 halfpm6th 8145 iap0 8148 addltmul 8161 div4p1lem1div2 8177 peano2z 8281 nn0n0n1ge2 8311 nneoor 8340 zeo 8343 numsuc 8379 numltc 8387 numsucc 8393 numma 8398 nummul1c 8403 6p5lem 8416 4t3lem 8438 decbin2 8471 fztp 8940 fzprval 8944 fztpval 8945 fzshftral 8970 fz0tp 8981 fzo01 9072 fzo12sn 9073 fzo0to2pr 9074 fzo0to3tp 9075 fzo0to42pr 9076 intqfrac2 9161 intfracq 9162 sqval 9312 cu2 9351 i3 9354 i4 9355 binom2i 9360 binom3 9366 reim0 9461 cji 9502 resqrexlemover 9608 resqrexlemcalc1 9612 resqrexlemcalc3 9614 absi 9657 sqr2irrlem 9877 |
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