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Axiom ax-ia2 106
Description: Right 'and' elimination. One of the axioms of propositional logic. (Contributed by Mario Carneiro, 31-Jan-2015.) Use its alias simpr 109 instead for naming consistency with set.mm. (New usage is discouraged.)
Assertion
Ref Expression
ax-ia2 ((𝜑𝜓) → 𝜓)

Detailed syntax breakdown of Axiom ax-ia2
StepHypRef Expression
1 wph . . 3 wff 𝜑
2 wps . . 3 wff 𝜓
31, 2wa 103 . 2 wff (𝜑𝜓)
43, 2wi 4 1 wff ((𝜑𝜓) → 𝜓)
Colors of variables: wff set class
This axiom is referenced by:  simpr  109
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