This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem ancl

Description: Conjoin antecedent to left of consequent. (Contributed by NM, 15-Aug-1994)

		Ref	Expression
	Assertion	ancl	$⊢ (φ \to ψ) \to (φ \to (φ \land ψ))$

Step	Hyp	Ref	Expression
1		pm3.2	$⊢ φ \to (ψ \to (φ \land ψ))$
2	1	a2i	$⊢ (φ \to ψ) \to (φ \to (φ \land ψ))$