ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  2a1i GIF version

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-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  equvini  1683  sbcrext  2900  iseqid2  9616
  Copyright terms: Public domain W3C validator