Metamath Proof Explorer


Theorem ancri

Description: Deduction conjoining antecedent to right of consequent. (Contributed by NM, 15-Aug-1994)

Ref Expression
Hypothesis ancri.1 ( 𝜑𝜓 )
Assertion ancri ( 𝜑 → ( 𝜓𝜑 ) )

Proof

Step Hyp Ref Expression
1 ancri.1 ( 𝜑𝜓 )
2 id ( 𝜑𝜑 )
3 1 2 jca ( 𝜑 → ( 𝜓𝜑 ) )