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Theorem 19.9d2rf 23973
 Description: A deduction version of one direction of 19.9 1798 with two variables (Contributed by Thierry Arnoux, 20-Mar-2017.)
Hypotheses
Ref Expression
19.9d2rf.0
19.9d2rf.1
19.9d2rf.2
19.9d2rf.3
Assertion
Ref Expression
19.9d2rf

Proof of Theorem 19.9d2rf
StepHypRef Expression
1 19.9d2rf.3 . . . 4
2 rexex 2767 . . . 4
3 rexex 2767 . . . . 5
43eximi 1586 . . . 4
51, 2, 43syl 19 . . 3
6 19.9d2rf.0 . . . . 5
7 19.9d2rf.1 . . . . 5
86, 7nfexd 1874 . . . 4
9819.9d 1797 . . 3
105, 9mpd 15 . 2
11 19.9d2rf.2 . . 3
121119.9d 1797 . 2
1310, 12mpd 15 1
 Colors of variables: wff set class Syntax hints:   wi 4  wex 1551  wnf 1554  wrex 2708 This theorem is referenced by:  19.9d2r  23974  xrofsup  24131 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762 This theorem depends on definitions:  df-bi 179  df-an 362  df-ex 1552  df-nf 1555  df-rex 2713
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