Theorem mt-3.32a.CL 293

Description: Closed Form of mt-P3.32a 291. †

Assertion

Ref	Expression
mt-3.32a.CL	⊢ ((𝜑 → ¬ 𝜑) → ¬ 𝜑)

Proof of Theorem mt-3.32a.CL

Step	Hyp	Ref	Expression
1		rcp-NDASM1of1 192	. 2 ⊢ ((𝜑 → ¬ 𝜑) → (𝜑 → ¬ 𝜑))
2	1	mt-P3.32a 291	1 ⊢ ((𝜑 → ¬ 𝜑) → ¬ 𝜑)

Syntax hints:  ¬ wff-neg 9   → wff-imp 10

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: (None)