Metamath Proof Explorer


Theorem pm5.32i

Description: Distribution of implication over biconditional (inference form). (Contributed by NM, 1-Aug-1994)

Ref Expression
Hypothesis pm5.32i.1 φ ψ χ
Assertion pm5.32i φ ψ φ χ

Proof

Step Hyp Ref Expression
1 pm5.32i.1 φ ψ χ
2 pm5.32 φ ψ χ φ ψ φ χ
3 1 2 mpbi φ ψ φ χ