Metamath Proof Explorer


Theorem mpbiran2

Description: Detach truth from conjunction in biconditional. (Contributed by NM, 22-Feb-1996)

Ref Expression
Hypotheses mpbiran2.1 χ
mpbiran2.2 φ ψ χ
Assertion mpbiran2 φ ψ

Proof

Step Hyp Ref Expression
1 mpbiran2.1 χ
2 mpbiran2.2 φ ψ χ
3 2 biancomi φ χ ψ
4 1 3 mpbiran φ ψ