Theorem rcp-NDORIR0 233

Description: Right '∨' Introduction. †

Hypothesis

Ref	Expression
rcp-NDORIR0.1	⊢ 𝜑

Assertion

Ref	Expression
rcp-NDORIR0	⊢ (𝜑 ∨ 𝜓)

Proof of Theorem rcp-NDORIR0

Step	Hyp	Ref	Expression
1		rcp-NDORIR0.1	. . . 4 ⊢ 𝜑
2	1	ndtruei-P3.17 182	. . 3 ⊢ (⊤ → 𝜑)
3	2	ndorir-P3.11 176	. 2 ⊢ (⊤ → (𝜑 ∨ 𝜓))
4	3	ndtruee-P3.18 183	1 ⊢ (𝜑 ∨ 𝜓)

Syntax hints:   ∨ wff-or 144  ⊤wff-true 153

This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-L3 13  ax-MP 14

This theorem depends on definitions:  df-bi-D2.1 107  df-or-D2.3 145  df-true-D2.4 155

This theorem is referenced by: (None)