Axiom ax-ia1 105

Description: Left 'and' elimination. One of the axioms of propositional logic. Use its alias simpl 108 instead for naming consistency with set.mm. (New usage is discouraged.) (Contributed by Mario Carneiro, 31-Jan-2015.)

Assertion

Ref	Expression
ax-ia1	⊢ ((𝜑 ∧ 𝜓) → 𝜑)

Detailed syntax breakdown of Axiom ax-ia1

Step	Hyp	Ref	Expression
1		wph	. . 3 wff 𝜑
2		wps	. . 3 wff 𝜓
3	1, 2	wa 103	. 2 wff (𝜑 ∧ 𝜓)
4	3, 1	wi 4	1 wff ((𝜑 ∧ 𝜓) → 𝜑)

This axiom is referenced by:  simpl  108