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Metamath Proof Explorer

Theorem simpll

Description: Simplification of a conjunction. (Contributed by NM, 18-Mar-2007)

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

Proof

Step Hyp Ref Expression
1 id ⊢ ( 𝜑 → 𝜑 )
2 1 ad2antrr ⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) → 𝜑 )