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Theorem a1i13 27
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 25 . 2 (𝜓 → (𝜒𝜃))
32a1i 11 1 (𝜑 → (𝜓 → (𝜒𝜃)))
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:  ad4ant24  1295  ad5ant245  1304  filconn  21606  usgr2pth  26542  elwspths2on  26734  frgr3vlem1  27014  3vfriswmgrlem  27018
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