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Theorem hbae-o 2153
 Description: All variables are effectively bound in an identical variable specifier. Version of hbae 1953 using ax-10o 2139. (Contributed by NM, 5-Aug-1993.) (Proof modification is disccouraged.) (New usage is discouraged.)
Assertion
Ref Expression
hbae-o

Proof of Theorem hbae-o
StepHypRef Expression
1 ax-4 2135 . . . . 5
2 ax-12o 2142 . . . . 5
31, 2syl7 63 . . . 4
4 ax-10o 2139 . . . . 5
54aecoms-o 2152 . . . 4
6 ax-10o 2139 . . . . . . 7
76pm2.43i 43 . . . . . 6
8 ax-10o 2139 . . . . . 6
97, 8syl5 28 . . . . 5
109aecoms-o 2152 . . . 4
113, 5, 10pm2.61ii 157 . . 3
1211a5i-o 2150 . 2
13 ax-7 1734 . 2
1412, 13syl 15 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4  wal 1540 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-7 1734  ax-4 2135  ax-5o 2136  ax-6o 2137  ax-10o 2139  ax-12o 2142 This theorem depends on definitions:  df-bi 177  df-ex 1542 This theorem is referenced by:  dral1-o  2154  hbnae-o  2179  dral2-o  2181  aev-o  2182
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