Metamath Proof Explorer

Theorem com24

Description: Commutation of antecedents. Swap 2nd and 4th. Deduction associated with com13 . (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 com24 φ θ χ ψ τ


Step Hyp Ref Expression
1 com4.1 φ ψ χ θ τ
2 1 com4t χ θ φ ψ τ
3 2 com13 φ θ χ ψ τ