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Theorem a1i13 24
Description: Add two antecedents to a wff. (Contributed by Jeff Hankins, 4-Aug-2009.)
Hypothesis
Ref Expression
a1i13.1 (𝜓𝜃)
Assertion
Ref Expression
a1i13 (𝜑 → (𝜓 → (𝜒𝜃)))

Proof of Theorem a1i13
StepHypRef Expression
1 a1i13.1 . . 3 (𝜓𝜃)
21a1d 22 . 2 (𝜓 → (𝜒𝜃))
32a1i 9 1 (𝜑 → (𝜓 → (𝜒𝜃)))
Colors of variables: wff set class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  xpfi  6472  iseqfveq2  9596  iseqshft2  9600  iseqsplit  9606
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