Theorem axL1-P3.21.CL 253

Description: Closed Form of axL1-P3.21 252 (Axiom L1). †

Assertion

Ref	Expression
axL1-P3.21.CL	⊢ (𝜑 → (𝜓 → 𝜑))

Proof of Theorem axL1-P3.21.CL

Step	Hyp	Ref	Expression
1		rcp-NDASM1of1 192	. 2 ⊢ (𝜑 → 𝜑)
2	1	axL1-P3.21 252	1 ⊢ (𝜑 → (𝜓 → 𝜑))

Syntax hints:   → 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:  trueie-P4.22a  444  qimeqallhalf-P5  609  qimeqex-P5-L1  610  specpsub-P6  721  psubim-P6-L2  790