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Theorem 19.9d2rf 28193
 Description: A deduction version of one direction of 19.9 1990 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 2843 . . . 4
3 rexex 2843 . . . . 5
43eximi 1715 . . . 4
51, 2, 43syl 18 . . 3
6 19.9d2rf.0 . . . . 5
7 19.9d2rf.1 . . . . 5
86, 7nfexd 2054 . . . 4
9819.9d 1988 . . 3
105, 9mpd 15 . 2
11 19.9d2rf.2 . . 3
121119.9d 1988 . 2
1310, 12mpd 15 1
 Colors of variables: wff setvar class Syntax hints:   wi 4  wex 1671  wnf 1675  wrex 2757 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1677  ax-4 1690  ax-5 1766  ax-6 1813  ax-7 1859  ax-10 1932  ax-11 1937  ax-12 1950 This theorem depends on definitions:  df-bi 190  df-an 378  df-ex 1672  df-nf 1676  df-rex 2762 This theorem is referenced by:  19.9d2r  28194  xrofsup  28428
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