Metamath Proof Explorer


Theorem anbi2ci

Description: Variant of anbi2i with commutation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (Proof shortened by Andrew Salmon, 14-Jun-2011)

Ref Expression
Hypothesis anbi.1 φψ
Assertion anbi2ci φχχψ

Proof

Step Hyp Ref Expression
1 anbi.1 φψ
2 1 anbi1i φχψχ
3 2 biancomi φχχψ