Theorem ibar

Description: Introduction of antecedent as conjunct. (Contributed by NM, 5-Dec-1995)

	Ref	Expression
Assertion	ibar	⊢ ( 𝜑 → ( 𝜓 ↔ ( 𝜑 ∧ 𝜓 ) ) )

Proof

Step	Hyp	Ref	Expression
1		iba	⊢ ( 𝜑 → ( 𝜓 ↔ ( 𝜓 ∧ 𝜑 ) ) )
2	1	biancomd	⊢ ( 𝜑 → ( 𝜓 ↔ ( 𝜑 ∧ 𝜓 ) ) )