Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > csbeq2i | Unicode version |
Description: Formula-building inference rule 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 2931 | . 2 |
4 | 3 | trud 1293 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1284 wtru 1285 csb 2908 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-sbc 2816 df-csb 2909 |
This theorem is referenced by: csbvarg 2933 csbnest1g 2957 csbsng 3453 csbunig 3609 csbxpg 4439 csbcnvg 4537 csbdmg 4547 csbresg 4633 csbrng 4802 csbfv12g 5230 csbnegg 7306 |
Copyright terms: Public domain | W3C validator |