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Theorem r19.29imd 2994
Description: Theorem 19.29 of [Margaris] p. 90 with an implication in the hypothesis containing the generalization, deduction version. (Contributed by AV, 19-Jan-2019.)
Hypotheses
Ref Expression
r19.29imd.1
r19.29imd.2
Assertion
Ref Expression
r19.29imd

Proof of Theorem r19.29imd
StepHypRef Expression
1 r19.29imd.1 . . 3
2 r19.29imd.2 . . 3
3 r19.29r 2993 . . 3
41, 2, 3syl2anc 661 . 2
5 abai 795 . . 3
65rexbii 2959 . 2
74, 6sylibr 212 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\wa 369  A.wral 2807  E.wrex 2808
This theorem is referenced by:  psgndif  18638
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-ral 2812  df-rex 2813
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