Metamath Proof Explorer


Theorem ancri

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

Ref Expression
Hypothesis ancri.1 ⊢ φ → ψ
Assertion ancri ⊢ φ → ψ ∧ φ

Proof

Step Hyp Ref Expression
1 ancri.1 ⊢ φ → ψ
2 id ⊢ φ → φ
3 1 2 jca ⊢ φ → ψ ∧ φ