Theorem rcp-NDORIL0 232

Description: Left '∨' Introduction. †

Hypothesis

Ref	Expression
rcp-NDORIL0.1	⊢ 𝜑

Assertion

Ref	Expression
rcp-NDORIL0	⊢ (𝜓 ∨ 𝜑)

Proof of Theorem rcp-NDORIL0

Step	Hyp	Ref	Expression
1		rcp-NDORIL0.1	. . . 4 ⊢ 𝜑
2	1	ndtruei-P3.17 182	. . 3 ⊢ (⊤ → 𝜑)
3	2	ndoril-P3.10 175	. 2 ⊢ (⊤ → (𝜓 ∨ 𝜑))
4	3	ndtruee-P3.18 183	1 ⊢ (𝜓 ∨ 𝜑)

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)