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Theorem equs5 2093
Description: Lemma used in proofs of substitution properties. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
equs5

Proof of Theorem equs5
StepHypRef Expression
1 nfnae 2048 . 2
2 nfa1 1809 . 2
3 ax11o 2085 . . 3
43imp3a 422 . 2
51, 2, 4exlimd 1827 1
Colors of variables: wff set class
Syntax hints:  -.wn 3  ->wi 4  /\wa 360  A.wal 1550  E.wex 1551
This theorem is referenced by:  sb3  2097  sb4  2098
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1628  ax-9 1669  ax-8 1690  ax-6 1747  ax-7 1752  ax-11 1764  ax-12 1954
This theorem depends on definitions:  df-bi 179  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555
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