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Mirrors > Home > ILE Home > Th. List > fveq1i | Unicode version |
Description: Equality inference for function value. (Contributed by NM, 2-Sep-2003.) |
Ref | Expression |
---|---|
fveq1i.1 |
Ref | Expression |
---|---|
fveq1i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fveq1i.1 | . 2 | |
2 | fveq1 5413 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 cfv 5118 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-rex 2420 df-uni 3732 df-br 3925 df-iota 5083 df-fv 5126 |
This theorem is referenced by: fveq12i 5420 fvun2 5481 fvopab3ig 5488 fvsnun1 5610 fvsnun2 5611 fvpr1 5617 fvpr2 5618 fvpr1g 5619 fvpr2g 5620 fvtp1g 5621 fvtp2g 5622 fvtp3g 5623 fvtp2 5625 fvtp3 5626 ov 5883 ovigg 5884 ovg 5902 tfr2a 6211 tfrex 6258 frec0g 6287 freccllem 6292 frecsuclem 6296 caseinl 6969 caseinr 6970 ctssdccl 6989 addpiord 7117 mulpiord 7118 fseq1p1m1 9867 frec2uz0d 10165 frec2uzzd 10166 frec2uzsucd 10167 frecuzrdgrrn 10174 frec2uzrdg 10175 frecuzrdg0 10179 frecuzrdgsuc 10180 frecuzrdgg 10182 frecuzrdg0t 10188 frecuzrdgsuctlem 10189 0tonninf 10205 1tonninf 10206 inftonninf 10207 seq3val 10224 seqvalcd 10225 hashinfom 10517 hashennn 10519 hashfz1 10522 shftidt 10598 resqrexlemf1 10773 resqrexlemfp1 10774 cbvsum 11122 fisumss 11154 fsumadd 11168 isumclim3 11185 cbvprod 11320 ialgr0 11714 algrp1 11716 ennnfonelem0 11907 ennnfonelemp1 11908 ennnfonelemom 11910 ctinfomlemom 11929 ndxarg 11971 strslfv2d 11990 upxp 12430 cnmetdval 12687 remetdval 12697 |
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