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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 |
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Ref | Expression |
---|---|
fveq1i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fveq1i.1 |
. 2
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2 | fveq1 5177 |
. 2
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3 | 1, 2 | ax-mp 7 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
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-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-rex 2312 df-uni 3581 df-br 3765 df-iota 4867 df-fv 4910 |
This theorem is referenced by: fveq12i 5183 fvun2 5240 fvopab3ig 5246 fvsnun1 5360 fvsnun2 5361 fvpr1 5365 fvpr2 5366 fvpr1g 5367 fvpr2g 5368 fvtp1g 5369 fvtp2g 5370 fvtp3g 5371 fvtp2 5373 fvtp3 5374 ov 5620 ovigg 5621 ovg 5639 tfr2a 5936 tfrex 5954 frec0g 5983 frecsuclem1 5987 frecsuclem2 5989 addpiord 6414 mulpiord 6415 fseq1p1m1 8956 frec2uz0d 9185 frec2uzzd 9186 frec2uzsucd 9187 frecuzrdgrrn 9194 frec2uzrdg 9195 frecuzrdg0 9200 frecuzrdgsuc 9201 shftidt 9434 resqrexlemf1 9606 resqrexlemfp1 9607 ialgr0 9883 ialgrp1 9885 |
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