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Theorem ee100 41323
Description: e100 41322 without virtual deductions. (Contributed by Alan Sare, 23-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ee100.1 (𝜑𝜓)
ee100.2 𝜒
ee100.3 𝜃
ee100.4 (𝜓 → (𝜒 → (𝜃𝜏)))
Assertion
Ref Expression
ee100 (𝜑𝜏)

Proof of Theorem ee100
StepHypRef Expression
1 ee100.1 . 2 (𝜑𝜓)
2 ee100.2 . . 3 𝜒
32a1i 11 . 2 (𝜑𝜒)
4 ee100.3 . . 3 𝜃
54a1i 11 . 2 (𝜑𝜃)
6 ee100.4 . 2 (𝜓 → (𝜒 → (𝜃𝜏)))
71, 3, 5, 6syl3c 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