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Theorem r19.29d2r 2500
 Description: Theorem 19.29 of [Margaris] p. 90 with two restricted quantifiers, deduction version (Contributed by Thierry Arnoux, 30-Jan-2017.)
Hypotheses
Ref Expression
r19.29d2r.1
r19.29d2r.2
Assertion
Ref Expression
r19.29d2r

Proof of Theorem r19.29d2r
StepHypRef Expression
1 r19.29d2r.1 . . 3
2 r19.29d2r.2 . . 3
3 r19.29 2495 . . 3
41, 2, 3syl2anc 403 . 2
5 r19.29 2495 . . 3
65reximi 2459 . 2
74, 6syl 14 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 102  wral 2349  wrex 2350 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-ial 1468 This theorem depends on definitions:  df-bi 115  df-ral 2354  df-rex 2355 This theorem is referenced by:  r19.29vva  2501  cauappcvgprlemdisj  6903
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