Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > eqsb3 | Unicode version |
Description: Substitution applied to an atomic wff (class version of equsb3 1866). (Contributed by Rodolfo Medina, 28-Apr-2010.) |
Ref | Expression |
---|---|
eqsb3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqsb3lem 2181 | . . 3 | |
2 | 1 | sbbii 1688 | . 2 |
3 | nfv 1461 | . . 3 | |
4 | 3 | sbco2 1880 | . 2 |
5 | eqsb3lem 2181 | . 2 | |
6 | 2, 4, 5 | 3bitr3i 208 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 103 wceq 1284 wsb 1685 |
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-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 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-nf 1390 df-sb 1686 df-cleq 2074 |
This theorem is referenced by: pm13.183 2732 eqsbc3 2853 |
Copyright terms: Public domain | W3C validator |