Metamath Proof Explorer


Theorem simprr

Description: Simplification of a conjunction. (Contributed by NM, 21-Mar-2007)

Ref Expression
Assertion simprr ⊢ φ ∧ ψ ∧ χ → χ

Proof

Step Hyp Ref Expression
1 id ⊢ χ → χ
2 1 ad2antll ⊢ φ ∧ ψ ∧ χ → χ