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Metamath Proof Explorer


Theorem simp2

Description: Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994) (Proof shortened by Wolf Lammen, 22-Jun-2022)

Ref Expression
Assertion simp2 φ ψ χ ψ

Proof

Step Hyp Ref Expression
1 id ψ ψ
2 1 3ad2ant2 φ ψ χ ψ