Metamath Proof Explorer


Theorem olc

Description: Introduction of a disjunct. Axiom *1.3 of WhiteheadRussell p. 96. (Contributed by NM, 30-Aug-1993)

Ref Expression
Assertion olc ⊢ φ → ψ ∨ φ

Proof

Step Hyp Ref Expression
1 ax-1 ⊢ φ → ¬ ψ → φ
2 1 orrd ⊢ φ → ψ ∨ φ