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Theorem reximddv2 2470
 Description: Double deduction from Theorem 19.22 of [Margaris] p. 90. (Contributed by Thierry Arnoux, 15-Dec-2019.)
Hypotheses
Ref Expression
reximddv2.1
reximddv2.2
Assertion
Ref Expression
reximddv2
Distinct variable groups:   ,   ,,
Allowed substitution hints:   (,)   (,)   ()   (,)

Proof of Theorem reximddv2
StepHypRef Expression
1 reximddv2.1 . . . . 5
21ex 113 . . . 4
32reximdva 2468 . . 3
43impr 371 . 2
5 reximddv2.2 . 2
64, 5reximddv 2469 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 102   wcel 1434  wrex 2354 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1377  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-4 1441  ax-17 1460  ax-ial 1468 This theorem depends on definitions:  df-bi 115  df-nf 1391  df-ral 2358  df-rex 2359 This theorem is referenced by: (None)
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