Metamath Proof Explorer


Theorem ancli

Description: Deduction conjoining antecedent to left of consequent. (Contributed by NM, 12-Aug-1993)

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

Proof

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