Metamath Proof Explorer


Theorem bnj708

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

Ref Expression
Hypothesis bnj708.1 ⊢ θ → τ
Assertion bnj708 ⊢ φ ∧ ψ ∧ χ ∧ θ → τ

Proof

Step Hyp Ref Expression
1 bnj708.1 ⊢ θ → τ
2 bnj645 ⊢ φ ∧ ψ ∧ χ ∧ θ → θ
3 2 1 syl ⊢ φ ∧ ψ ∧ χ ∧ θ → τ