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Mirrors > Home > MPE Home > Th. List > axc11nlemALT | Structured version Visualization version Unicode version |
Description: Alternate version of axc11nlemOLD2 1988 used in an older proof. (Contributed by NM, 8-Jul-2016.) (Proof shortened by Wolf Lammen, 17-Feb-2018.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
axc11nlemALT |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvaev 1979 | . . 3 | |
2 | equequ2 1953 | . . . . 5 | |
3 | 2 | biimprd 238 | . . . 4 |
4 | 3 | al2imi 1743 | . . 3 |
5 | 1, 4 | syl5com 31 | . 2 |
6 | dveeq1 2300 | . . . . 5 | |
7 | 6 | spsd 2057 | . . . 4 |
8 | 7 | com12 32 | . . 3 |
9 | 8 | con1d 139 | . 2 |
10 | 5, 9 | pm2.61d 170 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wal 1481 |
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 ax-6 1888 ax-7 1935 ax-10 2019 ax-12 2047 ax-13 2246 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 |
This theorem is referenced by: axc11nALT 2310 aevlemALTOLD 2320 |
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