Metamath Proof Explorer


Theorem com14

Description: Commutation of antecedents. Swap 1st and 4th. (Contributed by NM, 25-Apr-1994) (Proof shortened by Wolf Lammen, 28-Jul-2012)

Ref Expression
Hypothesis com4.1 φ ψ χ θ τ
Assertion com14 θ ψ χ φ τ

Proof

Step Hyp Ref Expression
1 com4.1 φ ψ χ θ τ
2 1 com4l ψ χ θ φ τ
3 2 com3r θ ψ χ φ τ