Metamath Proof Explorer


Theorem 3coml

Description: Commutation in antecedent. Rotate left. (Contributed by NM, 28-Jan-1996)

Ref Expression
Hypothesis 3exp.1 ⊢ φ ∧ ψ ∧ χ → θ
Assertion 3coml ⊢ ψ ∧ χ ∧ φ → θ

Proof

Step Hyp Ref Expression
1 3exp.1 ⊢ φ ∧ ψ ∧ χ → θ
2 1 3com23 ⊢ φ ∧ χ ∧ ψ → θ
3 2 3com13 ⊢ ψ ∧ χ ∧ φ → θ