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Theorem 2a1i 27
Description: Add two antecedents to a wff. (Contributed by Jeff Hankins, 4-Aug-2009.) (Proof shortened by Wolf Lammen, 23-Jul-2013.)
Hypothesis
Ref Expression
2a1i.1 𝜒
Assertion
Ref Expression
2a1i (𝜑 → (𝜓𝜒))

Proof of Theorem 2a1i
StepHypRef Expression
1 2a1i.1 . . 3 𝜒
21a1i 9 . 2 (𝜑𝜒)
32a1d 22 1 (𝜑 → (𝜓𝜒))
Colors of variables: wff set 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:  equvini  1714  sbcrext  2956  map1  6672  seq3id2  10233  fsum2d  11155  fsumabs  11185  fsumiun  11197  cncfmptc  12657
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