Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 1459 | . . 3 | |
2 | nfcsb.1 | . . . 4 | |
3 | 2 | a1i 9 | . . 3 |
4 | nfcsb.2 | . . . 4 | |
5 | 4 | a1i 9 | . . 3 |
6 | 1, 3, 5 | nfcsbd 3084 | . 2 |
7 | 6 | mptru 1357 | 1 |
Colors of variables: wff set class |
Syntax hints: wtru 1349 wnfc 2299 csb 3049 |
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 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-nfc 2301 df-sbc 2956 df-csb 3050 |
This theorem is referenced by: cbvralcsf 3111 cbvrexcsf 3112 cbvreucsf 3113 cbvrabcsf 3114 elfvmptrab1 5590 fmptcof 5663 mpomptsx 6176 dmmpossx 6178 fmpox 6179 fmpoco 6195 dfmpo 6202 f1od2 6214 nfsum 11320 fsum2dlemstep 11397 fisumcom2 11401 nfcprod 11518 fsumcncntop 13350 |
Copyright terms: Public domain | W3C validator |