Theorem a4i 981

Description: Inference rule reversing generalization.

Hypothesis

Ref	Expression
a4i.1	⊢ ∀xφ

Assertion

Ref	Expression
a4i	⊢ φ

Proof of Theorem a4i

Step	Hyp	Ref	Expression
1		a4i.1	. 2 ⊢ ∀xφ
2		ax-4 972	. 2 ⊢ (∀xφ → φ)
3	1, 2	ax-mp 7	1 ⊢ φ

Syntax hints:  ∀wal 953

This theorem is referenced by:  ersym 4265  ertr 4267  ac4 4733  ac5 4735  ac8 4746  kmlem2 4749

This theorem was proved from axioms:  ax-mp 7  ax-4 972

Copyright terms: Public domain