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Axiom ax-ia1 97
Description: Left 'and' elimination. Axiom 1 of 10 for intuitionistic logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-ia1 ((φ ψ) → φ)

Detailed syntax breakdown of Axiom ax-ia1
StepHypRef Expression
1 wph . . 3 wff φ
2 wps . . 3 wff ψ
31, 2wa 95 . 2 wff (φ ψ)
43, 1wi 4 1 wff ((φ ψ) → φ)
Colors of variables: wff set class
This axiom is referenced by:  simpl  100  pm5.54dc  789  dcan  799  xordc1  1219  falantru  1227  sbcof2  1601  sbequilem  1629  sbequ8  1637  rexim  2222
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