Axiom ax-ia2 107

Description: Right 'and' elimination. One of the axioms of propositional logic. (Contributed by Mario Carneiro, 31-Jan-2015.) Use its alias simpr 110 instead for naming consistency with set.mm. (New usage is discouraged.)

Assertion

Ref	Expression
ax-ia2	⊢ ((𝜑 ∧ 𝜓) → 𝜓)

Detailed syntax breakdown of Axiom ax-ia2

Step	Hyp	Ref	Expression
1		wph	. . 3 wff 𝜑
2		wps	. . 3 wff 𝜓
3	1, 2	wa 104	. 2 wff (𝜑 ∧ 𝜓)
4	3, 2	wi 4	1 wff ((𝜑 ∧ 𝜓) → 𝜓)

This axiom is referenced by:  simpr  110