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Theorem ee110 41304
Description: e110 41303 without virtual deductions. (Contributed by Alan Sare, 22-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee110.1 (𝜑𝜓)
ee110.2 (𝜑𝜒)
ee110.3 𝜃
ee110.4 (𝜓 → (𝜒 → (𝜃𝜏)))
Assertion
Ref Expression
ee110 (𝜑𝜏)

Proof of Theorem ee110
StepHypRef Expression
1 ee110.1 . 2 (𝜑𝜓)
2 ee110.2 . 2 (𝜑𝜒)
3 ee110.3 . . 3 𝜃
43a1i 11 . 2 (𝜑𝜃)
5 ee110.4 . 2 (𝜓 → (𝜒 → (𝜃𝜏)))
61, 2, 4, 5syl3c 66 1 (𝜑𝜏)
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator