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Mirrors > Home > ILE Home > Th. List > csbfv2g | Unicode version |
Description: Move class substitution in and out of a function value. (Contributed by NM, 10-Nov-2005.) |
Ref | Expression |
---|---|
csbfv2g |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csbfv12g 5519 | . 2 | |
2 | csbconstg 3057 | . . 3 | |
3 | 2 | fveq1d 5485 | . 2 |
4 | 1, 3 | eqtrd 2197 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1342 wcel 2135 csb 3043 cfv 5185 |
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 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-3an 969 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-rex 2448 df-v 2726 df-sbc 2950 df-csb 3044 df-un 3118 df-sn 3579 df-pr 3580 df-op 3582 df-uni 3787 df-br 3980 df-iota 5150 df-fv 5193 |
This theorem is referenced by: csbfvg 5521 fsumabs 11400 fprodabs 11551 |
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