Metamath Proof Explorer


Theorem 3mix2i

Description: Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014)

Ref Expression
Hypothesis 3mixi.1 ⊢ φ
Assertion 3mix2i ⊢ ψ ∨ φ ∨ χ

Proof

Step Hyp Ref Expression
1 3mixi.1 ⊢ φ
2 3mix2 ⊢ φ → ψ ∨ φ ∨ χ
3 1 2 ax-mp ⊢ ψ ∨ φ ∨ χ