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Mirrors > Home > ILE Home > Th. List > gencl | Unicode version |
Description: Implicit substitution for class with embedded variable. (Contributed by NM, 17-May-1996.) |
Ref | Expression |
---|---|
gencl.1 | |
gencl.2 | |
gencl.3 |
Ref | Expression |
---|---|
gencl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | gencl.1 | . 2 | |
2 | gencl.3 | . . . . 5 | |
3 | gencl.2 | . . . . 5 | |
4 | 2, 3 | syl5ib 143 | . . . 4 |
5 | 4 | impcom 116 | . . 3 |
6 | 5 | exlimiv 1489 | . 2 |
7 | 1, 6 | sylbi 114 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 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-gen 1338 ax-ie2 1383 ax-17 1419 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: 2gencl 2587 3gencl 2588 axprecex 6954 axpre-ltirr 6956 |
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