Theorem axie1 2596

Description: The setvar x is not free in E. x ph (intuitionistic logic axiom ax-ie1). (Contributed by Jim Kingdon, 31-Dec-2017.) (New usage is discouraged.)

Assertion

Ref	Expression
axie1	|- ( E. x ph -> A. x E. x ph )

Proof of Theorem axie1

Step	Hyp	Ref	Expression
1		hbe1 2021	1 |- ( E. x ph -> A. x E. x ph )

Syntax hints:   -> wi 4   A.wal 1481   E.wex 1704

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-10 2019

This theorem depends on definitions:  df-bi 197  df-ex 1705

This theorem is referenced by: (None)