Theorem dnege-P3.30.RC 277

Description: Inference Form of dnege-P3.30 276.

Hypothesis

Ref	Expression
dnege-P3.30.RC.1	⊢ ¬ ¬ 𝜑

Assertion

Ref	Expression
dnege-P3.30.RC	⊢ 𝜑

Proof of Theorem dnege-P3.30.RC

Step	Hyp	Ref	Expression
1		dnege-P3.30.RC.1	. . . 4 ⊢ ¬ ¬ 𝜑
2	1	ndtruei-P3.17 182	. . 3 ⊢ (⊤ → ¬ ¬ 𝜑)
3	2	dnege-P3.30 276	. 2 ⊢ (⊤ → 𝜑)
4	3	ndtruee-P3.18 183	1 ⊢ 𝜑

Syntax hints:  ¬ wff-neg 9  ⊤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:  rcp-RAA1  515  rcp-FALSERAA1  521