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Theorem prtlem60 33042
Description: Lemma for prter3 33075. (Contributed by Rodolfo Medina, 9-Oct-2010.)
Hypotheses
Ref Expression
prtlem60.1 (𝜑 → (𝜓 → (𝜒𝜃)))
prtlem60.2 (𝜓 → (𝜃𝜏))
Assertion
Ref Expression
prtlem60 (𝜑 → (𝜓 → (𝜒𝜏)))

Proof of Theorem prtlem60
StepHypRef Expression
1 prtlem60.1 . 2 (𝜑 → (𝜓 → (𝜒𝜃)))
2 prtlem60.2 . . 3 (𝜓 → (𝜃𝜏))
32a1i 11 . 2 (𝜑 → (𝜓 → (𝜃𝜏)))
41, 3syldd 69 1 (𝜑 → (𝜓 → (𝜒𝜏)))
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