Theorem ndnege-P3.4.CL 243

Description: Closed Form of ndnege-P3.4 169. †

Assertion

Ref	Expression
ndnege-P3.4.CL	⊢ ((𝜑 ∧ ¬ 𝜑) → 𝜓)

Proof of Theorem ndnege-P3.4.CL

Step	Hyp	Ref	Expression
1		rcp-NDASM1of2 193	. 2 ⊢ ((𝜑 ∧ ¬ 𝜑) → 𝜑)
2		rcp-NDASM2of2 194	. 2 ⊢ ((𝜑 ∧ ¬ 𝜑) → ¬ 𝜑)
3	1, 2	ndnege-P3.4 169	1 ⊢ ((𝜑 ∧ ¬ 𝜑) → 𝜓)

Syntax hints:  ¬ wff-neg 9   → wff-imp 10   ∧ wff-and 132

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)