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Theorem axia1 2781
Description: Left 'and' elimination (intuitionistic logic axiom ax-ia1). (Contributed by Jim Kingdon, 21-May-2018.) (New usage is discouraged.)
Ref Expression
axia1 ((𝜑𝜓) → 𝜑)

Proof of Theorem axia1
StepHypRef Expression
1 simpl 486 1 ((𝜑𝜓) → 𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 399
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 210  df-an 400
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator