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Theorem hbae-o 2232
Description: All variables are effectively bound in an identical variable specifier. Version of hbae 2055 using ax-c11 2218. (Contributed by NM, 13-May-1993.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
hbae-o

Proof of Theorem hbae-o
StepHypRef Expression
1 ax-c5 2214 . . . . 5
2 ax-c9 2221 . . . . 5
31, 2syl7 68 . . . 4
4 ax-c11 2218 . . . . 5
54aecoms-o 2231 . . . 4
6 ax-c11 2218 . . . . . . 7
76pm2.43i 47 . . . . . 6
8 ax-c11 2218 . . . . . 6
97, 8syl5 32 . . . . 5
109aecoms-o 2231 . . . 4
113, 5, 10pm2.61ii 165 . . 3
1211axc4i-o 2229 . 2
13 ax-11 1842 . 2
1412, 13syl 16 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  A.wal 1393
This theorem is referenced by:  dral1-o  2233  hbnae-o  2258  dral2-o  2260  aev-o  2261
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-11 1842  ax-c5 2214  ax-c4 2215  ax-c7 2216  ax-c11 2218  ax-c9 2221
This theorem depends on definitions:  df-bi 185  df-ex 1613
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