Theorem ndime-P3.6.CL 244

Description: Closed Form of ndime-P3.6 171. †

Assertion

Ref	Expression
ndime-P3.6.CL	⊢ ((𝜑 ∧ (𝜑 → 𝜓)) → 𝜓)

Proof of Theorem ndime-P3.6.CL

Step	Hyp	Ref	Expression
1		rcp-NDASM1of2 193	. 2 ⊢ ((𝜑 ∧ (𝜑 → 𝜓)) → 𝜑)
2		rcp-NDASM2of2 194	. 2 ⊢ ((𝜑 ∧ (𝜑 → 𝜓)) → (𝜑 → 𝜓))
3	1, 2	ndime-P3.6 171	1 ⊢ ((𝜑 ∧ (𝜑 → 𝜓)) → 𝜓)

Syntax hints:   → 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:  trueie-P4.22a  444  qimeqex-P5-L2  611