Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > equs5e | Unicode version |
Description: A property related to substitution that unlike equs5 1710 doesn't require a distinctor antecedent. (Contributed by NM, 2-Feb-2007.) (Revised by NM, 3-Feb-2015.) |
Ref | Expression |
---|---|
equs5e |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.8a 1482 | . . . . 5 | |
2 | hbe1 1384 | . . . . 5 | |
3 | 1, 2 | syl 14 | . . . 4 |
4 | 3 | anim2i 324 | . . 3 |
5 | 4 | eximi 1491 | . 2 |
6 | equs5a 1675 | . 2 | |
7 | 5, 6 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wceq 1243 wex 1381 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-11 1397 ax-4 1400 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: ax11e 1677 sb4e 1686 |
Copyright terms: Public domain | W3C validator |