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Axiom ax-ia1 104
Description: Left 'and' elimination. One of the axioms of propositional logic. Use its alias simpl 107 instead for naming consistency with set.mm. (New usage is discouraged.) (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-ia1 ((𝜑𝜓) → 𝜑)

Detailed syntax breakdown of Axiom ax-ia1
StepHypRef Expression
1 wph . . 3 wff 𝜑
2 wps . . 3 wff 𝜓
31, 2wa 102 . 2 wff (𝜑𝜓)
43, 1wi 4 1 wff ((𝜑𝜓) → 𝜑)
Colors of variables: wff set class
This axiom is referenced by:  simpl  107
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