Theorem 3mix3i 1129

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

Hypothesis

Ref	Expression
3mixi.1	⊢ φ

Assertion

Ref	Expression
3mix3i	⊢ (ψ ∨ χ ∨ φ)

Proof of Theorem 3mix3i

Step	Hyp	Ref	Expression
1		3mixi.1	. 2 ⊢ φ
2		3mix3 1126	. 2 ⊢ (φ → (ψ ∨ χ ∨ φ))
3	1, 2	ax-mp 5	1 ⊢ (ψ ∨ χ ∨ φ)

Syntax hints:   ∨ w3o 933

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 177  df-or 359  df-3or 935

This theorem is referenced by:  tpid3  3833