Theorem dnegi-P3.29.RC 274

Description: Inference Form of dnegi-P3.29 273. †

Hypothesis

Ref	Expression
dnegi-P3.29.RC.1	⊢ 𝜑

Assertion

Ref	Expression
dnegi-P3.29.RC	⊢ ¬ ¬ 𝜑

Proof of Theorem dnegi-P3.29.RC

Step	Hyp	Ref	Expression
1		dnegi-P3.29.RC.1	. . . 4 ⊢ 𝜑
2	1	ndtruei-P3.17 182	. . 3 ⊢ (⊤ → 𝜑)
3	2	dnegi-P3.29 273	. 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-true-D2.4 155

This theorem is referenced by:  dffalse-P3.49-L2  364