Metamath Proof Explorer


Theorem orc

Description: Introduction of a disjunct. Theorem *2.2 of WhiteheadRussell p. 104. (Contributed by NM, 30-Aug-1993)

Ref Expression
Assertion orc ( 𝜑 → ( 𝜑 ∨ 𝜓 ) )

Proof

Step Hyp Ref Expression
1 pm2.24 ⊢ ( 𝜑 → ( ¬ 𝜑 → 𝜓 ) )
2 1 orrd ⊢ ( 𝜑 → ( 𝜑 ∨ 𝜓 ) )