Theorem axia1

Description: Left 'and' elimination (intuitionistic logic axiom ax-ia1). (Contributed by Jim Kingdon, 21-May-2018) (New usage is discouraged.)

	Ref	Expression
Assertion	axia1	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜑 )

Proof

Step	Hyp	Ref	Expression
1		simpl	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜑 )