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Theorem equid1ALT 2255
Description: Alternate proof of equid 1791 and equid1 2237 from older axioms ax-c7 2216, ax-c10 2217 and ax-c9 2221. (Contributed by NM, 10-Jan-1993.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
equid1ALT

Proof of Theorem equid1ALT
StepHypRef Expression
1 ax-c9 2221 . . . . 5
21pm2.43i 47 . . . 4
32alimi 1633 . . 3
4 ax-c10 2217 . . 3
53, 4syl 16 . 2
6 ax-c7 2216 . 2
75, 6pm2.61i 164 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->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-c7 2216  ax-c10 2217  ax-c9 2221
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