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Theorem eel12131 36964
 Description: An elimination deduction. (Contributed by Alan Sare, 17-Oct-2017.)
Hypotheses
Ref Expression
eel12131.1
eel12131.2
eel12131.3
eel12131.4
Assertion
Ref Expression
eel12131

Proof of Theorem eel12131
StepHypRef Expression
1 eel12131.3 . . . . . 6
2 eel12131.2 . . . . . . . . . 10
3 eel12131.1 . . . . . . . . . . 11
4 eel12131.4 . . . . . . . . . . . 12
543exp 1205 . . . . . . . . . . 11
63, 5syl 17 . . . . . . . . . 10
72, 6syl5com 32 . . . . . . . . 9
87ex 436 . . . . . . . 8
98pm2.43b 53 . . . . . . 7
109com13 84 . . . . . 6
111, 10syl 17 . . . . 5
1211ex 436 . . . 4
1312pm2.43b 53 . . 3
1413com3l 85 . 2
15143imp 1200 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 371   w3a 983 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8 This theorem depends on definitions:  df-bi 189  df-an 373  df-3an 985 This theorem is referenced by:  isosctrlem1ALT  37198
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