Metamath Proof Explorer


Theorem simp1i

Description: Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005)

Ref Expression
Hypothesis 3simp1i.1 φ ψ χ
Assertion simp1i φ

Proof

Step Hyp Ref Expression
1 3simp1i.1 φ ψ χ
2 simp1 φ ψ χ φ
3 1 2 ax-mp φ