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Mirrors > Home > ILE Home > Th. List > fveqeq2 | Unicode version |
Description: Equality deduction for function value. (Contributed by BJ, 31-Aug-2022.) |
Ref | Expression |
---|---|
fveqeq2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 19 |
. 2
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2 | 1 | fveqeq2d 5523 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-rex 2461 df-v 2739 df-un 3133 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-br 4004 df-iota 5178 df-fv 5224 |
This theorem is referenced by: nnnninfeq2 7126 fodjum 7143 fodju0 7144 fodjuomnilemres 7145 fodjumkvlemres 7156 fodjumkv 7157 enmkvlem 7158 enwomnilem 7166 nninfwlporlemd 7169 nninfwlpoimlemginf 7173 nninfwlpoim 7175 seq3id3 10504 seq3id2 10506 seq3z 10508 fsum3cvg 11381 summodclem2a 11384 fproddccvg 11575 algfx 12046 ennnfonelemim 12419 reeff1oleme 14124 sin0pilem2 14134 bj-charfunbi 14483 nninfomnilem 14687 trilpolemlt1 14709 redcwlpolemeq1 14722 nconstwlpolem0 14730 nconstwlpolem 14732 neapmkvlem 14734 |
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