Metamath Proof Explorer


Theorem bnj721

Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Hypothesis bnj721.1 ⊢ φ ∧ ψ ∧ χ → τ
Assertion bnj721 ⊢ φ ∧ ψ ∧ χ ∧ θ → τ

Proof

Step Hyp Ref Expression
1 bnj721.1 ⊢ φ ∧ ψ ∧ χ → τ
2 bnj658 ⊢ φ ∧ ψ ∧ χ ∧ θ → φ ∧ ψ ∧ χ
3 2 1 syl ⊢ φ ∧ ψ ∧ χ ∧ θ → τ