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Theorem equs5e 1888
Description: A property related to substitution that unlike equs5 1996 doesn't require a distinctor antecedent. (Contributed by NM, 2-Feb-2007.)
Assertion
Ref Expression
equs5e

Proof of Theorem equs5e
StepHypRef Expression
1 nfe1 1732 . 2  F/
2 equs3 1644 . . 3
3 ax-11 1746 . . . . 5
43con3rr3 128 . . . 4
5 df-ex 1542 . . . 4
64, 5syl6ibr 218 . . 3
72, 6sylbi 187 . 2
81, 7alrimi 1765 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wa 358  wal 1540  wex 1541
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-nf 1545
This theorem is referenced by:  sb4e  1924
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