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Mirrors > Home > ILE Home > Th. List > funeqi | Unicode version |
Description: Equality inference for the function predicate. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) |
Ref | Expression |
---|---|
funeqi.1 |
Ref | Expression |
---|---|
funeqi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | funeqi.1 | . 2 | |
2 | funeq 5202 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wceq 1342 wfun 5176 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-in 3117 df-ss 3124 df-br 3977 df-opab 4038 df-rel 4605 df-cnv 4606 df-co 4607 df-fun 5184 |
This theorem is referenced by: funmpt 5220 funmpt2 5221 funprg 5232 funtpg 5233 funtp 5235 funcnvuni 5251 f1cnvcnv 5398 f1co 5399 fun11iun 5447 f10 5460 funoprabg 5932 mpofun 5935 ovidig 5950 tposfun 6219 tfri1dALT 6310 tfrcl 6323 rdgfun 6332 frecfun 6354 frecfcllem 6363 th3qcor 6596 ssdomg 6735 sbthlem7 6919 sbthlemi8 6920 casefun 7041 caseinj 7045 djufun 7060 djuinj 7062 ctssdccl 7067 axaddf 7800 axmulf 7801 strleund 12425 strleun 12426 1strbas 12436 2strbasg 12438 2stropg 12439 |
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