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Metamath Proof Explorer

Theorem simplr

Description: Simplification of a conjunction. (Contributed by NM, 20-Mar-2007)

Ref Expression
Assertion simplr ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) → 𝜓 )

Proof

Step Hyp Ref Expression
1 id ⊢ ( 𝜓 → 𝜓 )
2 1 ad2antlr ⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) → 𝜓 )