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Mirrors > Home > MPE Home > Th. List > aevALT | Unicode version |
Description: Alternate proof of aev 1943. Uses ax-11 1842 and ax-13 1999 contrary to aev 1943. (Contributed by NM, 8-Nov-2006.) (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
aevALT |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbae 2055 | . 2 | |
2 | aevlem1 1939 | . . 3 | |
3 | ax-7 1790 | . . . 4 | |
4 | 3 | spimv 2009 | . . 3 |
5 | 2, 4 | syl 16 | . 2 |
6 | 1, 5 | alrimih 1642 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -> wi 4 A. wal 1393 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1618 ax-4 1631 ax-5 1704 ax-6 1747 ax-7 1790 ax-10 1837 ax-11 1842 ax-12 1854 ax-13 1999 |
This theorem depends on definitions: df-bi 185 df-an 371 df-ex 1613 df-nf 1617 |
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