Theorem nmt-P3.32b.RC 295

Description: Inference Form of nmt-P3.32b 294.

Hypothesis

Ref	Expression
nmt-P3.32b.RC.1	⊢ (¬ 𝜑 → 𝜑)

Assertion

Ref	Expression
nmt-P3.32b.RC	⊢ 𝜑

Proof of Theorem nmt-P3.32b.RC

Step	Hyp	Ref	Expression
1		nmt-P3.32b.RC.1	. . . 4 ⊢ (¬ 𝜑 → 𝜑)
2	1	ndtruei-P3.17 182	. . 3 ⊢ (⊤ → (¬ 𝜑 → 𝜑))
3	2	nmt-P3.32b 294	. 2 ⊢ (⊤ → 𝜑)
4	3	ndtruee-P3.18 183	1 ⊢ 𝜑

Syntax hints:  ¬ wff-neg 9   → wff-imp 10  ⊤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-and-D2.2 133  df-or-D2.3 145  df-true-D2.4 155

This theorem is referenced by: (None)