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Mirrors > Home > ILE Home > Th. List > nfcsb | Unicode version |
Description: Bound-variable hypothesis builder for substitution into a class. (Contributed by Mario Carneiro, 12-Oct-2016.) |
Ref | Expression |
---|---|
nfcsb.1 | |
nfcsb.2 |
Ref | Expression |
---|---|
nfcsb |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nftru 1446 | . . 3 | |
2 | nfcsb.1 | . . . 4 | |
3 | 2 | a1i 9 | . . 3 |
4 | nfcsb.2 | . . . 4 | |
5 | 4 | a1i 9 | . . 3 |
6 | 1, 3, 5 | nfcsbd 3066 | . 2 |
7 | 6 | mptru 1344 | 1 |
Colors of variables: wff set class |
Syntax hints: wtru 1336 wnfc 2286 csb 3031 |
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 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-tru 1338 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-sbc 2938 df-csb 3032 |
This theorem is referenced by: cbvralcsf 3093 cbvrexcsf 3094 cbvreucsf 3095 cbvrabcsf 3096 elfvmptrab1 5562 fmptcof 5634 mpomptsx 6145 dmmpossx 6147 fmpox 6148 fmpoco 6163 dfmpo 6170 f1od2 6182 nfsum 11254 fsum2dlemstep 11331 fisumcom2 11335 nfcprod 11452 fsumcncntop 12967 |
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