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Mirrors > Home > ILE Home > Th. List > csbfvg | Unicode version |
Description: Substitution for a function value. (Contributed by NM, 1-Jan-2006.) |
Ref | Expression |
---|---|
csbfvg |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csbfv2g 5498 |
. 2
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2 | csbvarg 3055 |
. . 3
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3 | 2 | fveq2d 5465 |
. 2
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4 | 1, 3 | eqtrd 2187 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1481 ax-10 1482 ax-11 1483 ax-i12 1484 ax-bndl 1486 ax-4 1487 ax-17 1503 ax-i9 1507 ax-ial 1511 ax-i5r 1512 ax-ext 2136 |
This theorem depends on definitions: df-bi 116 df-3an 965 df-tru 1335 df-nf 1438 df-sb 1740 df-clab 2141 df-cleq 2147 df-clel 2150 df-nfc 2285 df-rex 2438 df-v 2711 df-sbc 2934 df-csb 3028 df-un 3102 df-sn 3562 df-pr 3563 df-op 3565 df-uni 3769 df-br 3962 df-iota 5128 df-fv 5171 |
This theorem is referenced by: ixpsnval 6635 |
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