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Theorem a9wa9lem1 1404
Description: Lemma for a9wa9 1415. Similar to equcomi 1564, without using ax-9 1418 or ax-4 1392.
Hypothesis
Ref Expression
a9wa9lem1.1
Assertion
Ref Expression
a9wa9lem1
Distinct variable group:   ,

Proof of Theorem a9wa9lem1
StepHypRef Expression
1 a9wa9lem1.1 . . . 4
2 ax-8 1387 . . . . . . 7
32pm2.43i 42 . . . . . 6
43con3i 543 . . . . 5
54alimi 1345 . . . 4
61, 5mto 567 . . 3
7 ax-17 1402 . . 3
86, 7mt3 724 . 2
9 ax-8 1387 . 2
108, 9mpi 15 1
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4  wal 1335
This theorem is referenced by:  a9wa9lem2  1405  a9wa9lem2OLD  1406  a9wa9lem3  1407
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-in1 527  ax-in2 528  ax-5 1336  ax-gen 1339  ax-8 1387  ax-17 1402
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