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Mirrors > Home > ILE Home > Th. List > feq1i | Unicode version |
Description: Equality inference for functions. (Contributed by Paul Chapman, 22-Jun-2011.) |
Ref | Expression |
---|---|
feq1i.1 |
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Ref | Expression |
---|---|
feq1i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | feq1i.1 |
. 2
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2 | feq1 5191 |
. 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 105 ax-ia2 106 ax-ia3 107 ax-io 671 ax-5 1391 ax-7 1392 ax-gen 1393 ax-ie1 1437 ax-ie2 1438 ax-8 1450 ax-10 1451 ax-11 1452 ax-i12 1453 ax-bndl 1454 ax-4 1455 ax-17 1474 ax-i9 1478 ax-ial 1482 ax-i5r 1483 ax-ext 2082 |
This theorem depends on definitions: df-bi 116 df-3an 932 df-tru 1302 df-nf 1405 df-sb 1704 df-clab 2087 df-cleq 2093 df-clel 2096 df-nfc 2229 df-v 2643 df-un 3025 df-in 3027 df-ss 3034 df-sn 3480 df-pr 3481 df-op 3483 df-br 3876 df-opab 3930 df-rel 4484 df-cnv 4485 df-co 4486 df-dm 4487 df-rn 4488 df-fun 5061 df-fn 5062 df-f 5063 |
This theorem is referenced by: ftpg 5536 frecfcllem 6231 frecsuclem 6233 omp1eomlem 6894 frecuzrdgrcl 10024 frecuzrdgrclt 10029 fxnn0nninf 10052 resqrexlemf 10619 algrf 11519 ennnfonelemh 11709 |
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