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Mirrors > Home > MPE Home > Th. List > gencl | Structured version Visualization version 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 234 | . . . 4 |
5 | 4 | impcom 446 | . . 3 |
6 | 5 | exlimiv 1858 | . 2 |
7 | 1, 6 | sylbi 207 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wceq 1483 wex 1704 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 |
This theorem is referenced by: 2gencl 3236 3gencl 3237 indpi 9729 axrrecex 9984 |
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