Theorem axie1 2328

Description: x is bound in ∃xφ (intuitionistic logic axiom ax-ie1). (Contributed by Jim Kingdon, 31-Dec-2017.)

Assertion

Ref	Expression
axie1	⊢ (∃xφ → ∀x∃xφ)

Proof of Theorem axie1

Step	Hyp	Ref	Expression
1		hbe1 1731	1 ⊢ (∃xφ → ∀x∃xφ)

Syntax hints:   → wi 4  ∀wal 1540  ∃wex 1541

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-6 1729

This theorem depends on definitions:  df-bi 177  df-ex 1542

This theorem is referenced by: (None)