Theorem a17d 1541

Description: ax-17 1540 with antecedent. (Contributed by NM, 1-Mar-2013.)

Assertion

Ref	Expression
a17d	⊢ (𝜑 → (𝜓 → ∀𝑥𝜓))

Distinct variable group:   𝜓,𝑥

Allowed substitution hint:   𝜑(𝑥)

Proof of Theorem a17d

Step	Hyp	Ref	Expression
1		ax-17 1540	. 2 ⊢ (𝜓 → ∀𝑥𝜓)
2	1	a1i 9	1 ⊢ (𝜑 → (𝜓 → ∀𝑥𝜓))

Syntax hints:   → wi 4  ∀wal 1362

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-17 1540

This theorem is referenced by: (None)