Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > csbeq2i | Unicode version |
Description: Formula-building inference for class substitution. (Contributed by NM, 10-Nov-2005.) (Revised by Mario Carneiro, 1-Sep-2015.) |
Ref | Expression |
---|---|
csbeq2i.1 |
Ref | Expression |
---|---|
csbeq2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csbeq2i.1 | . . . 4 | |
2 | 1 | a1i 9 | . . 3 |
3 | 2 | csbeq2dv 3075 | . 2 |
4 | 3 | mptru 1357 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1348 wtru 1349 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-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-11 1499 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-sbc 2956 df-csb 3050 |
This theorem is referenced by: csbvarg 3077 csbnest1g 3104 csbsng 3642 csbunig 3802 csbxpg 4690 csbcnvg 4793 csbdmg 4803 csbresg 4892 csbrng 5070 csbfv12g 5530 csbnegg 8104 iseqf1olemjpcl 10438 iseqf1olemqpcl 10439 iseqf1olemfvp 10440 seq3f1olemqsum 10443 |
Copyright terms: Public domain | W3C validator |