Metamath Proof Explorer


Theorem 3coml

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

Ref Expression
Hypothesis 3exp.1 φψχθ
Assertion 3coml ψχφθ

Proof

Step Hyp Ref Expression
1 3exp.1 φψχθ
2 1 3com23 φχψθ
3 2 3com13 ψχφθ