Theorem axial 2327

Description: x is not free in ∀xφ (intuitionistic logic axiom ax-ial). (Contributed by Jim Kingdon, 31-Dec-2017.)

Assertion

Ref	Expression
axial	⊢ (∀xφ → ∀x∀xφ)

Proof of Theorem axial

Step	Hyp	Ref	Expression
1		hba1 1786	1 ⊢ (∀xφ → ∀x∀xφ)

Syntax hints:   → wi 4  ∀wal 1540

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-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-11 1746

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

This theorem is referenced by: (None)