Theorem rae-P1.5.SH 38

Description: Inference from rae-P1.5 37.

Hypothesis

Ref	Expression
rae-P1.5.SH.1	⊢ (𝜑 → (𝜑 → 𝜓))

Assertion

Ref	Expression
rae-P1.5.SH	⊢ (𝜑 → 𝜓)

Proof of Theorem rae-P1.5.SH

Step	Hyp	Ref	Expression
1		rae-P1.5.SH.1	. 2 ⊢ (𝜑 → (𝜑 → 𝜓))
2		rae-P1.5 37	. 2 ⊢ ((𝜑 → (𝜑 → 𝜓)) → (𝜑 → 𝜓))
3	1, 2	ax-MP 14	1 ⊢ (𝜑 → 𝜓)

Syntax hints:   → wff-imp 10

This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-MP 14

This theorem is referenced by:  clav-P1.12  68