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Theorem equs5 2085
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 2044 . 2
2 nfa1 1806 . 2
3 ax11o 2077 . . 3
43imp3a 421 . 2
51, 2, 4exlimd 1824 1
Colors of variables: wff set class
Syntax hints:  -.wn 3  ->wi 4  /\wa 359  A.wal 1549  E.wex 1550
This theorem is referenced by:  sb3  2088  sb4  2089
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950
This theorem depends on definitions:  df-bi 178  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554
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