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Theorem ee223 32199
Description: e223 32200 without virtual deductions. (Contributed by Alan Sare, 12-Dec-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee223.1
ee223.2
ee223.3
ee223.4
Assertion
Ref Expression
ee223

Proof of Theorem ee223
StepHypRef Expression
1 ee223.2 . 2
2 ee223.3 . . . . . . . 8
3 ee223.1 . . . . . . . . . . . 12
4 ee223.4 . . . . . . . . . . . 12
53, 4syl6 33 . . . . . . . . . . 11
65com34 83 . . . . . . . . . 10
76com23 78 . . . . . . . . 9
87com12 31 . . . . . . . 8
92, 8syl8 70 . . . . . . 7
109com34 83 . . . . . 6
1110pm2.43a 49 . . . . 5
1211com34 83 . . . 4
1312pm2.43d 48 . . 3
1413com34 83 . 2
151, 14mpdd 40 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4
This theorem is referenced by:  e223  32200
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
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