Theorem axi10 2599

Description: Axiom of Quantifier Substitution (intuitionistic logic axiom ax-10). This is just axc11n 2307 by another name. (Contributed by Jim Kingdon, 31-Dec-2017.) (New usage is discouraged.)

Assertion

Ref	Expression
axi10	|- ( A. x x = y -> A. y y = x )

Proof of Theorem axi10

Step	Hyp	Ref	Expression
1		axc11n 2307	1 |- ( A. x x = y -> A. y y = x )

Syntax hints:   -> wi 4   A.wal 1481

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-5 1839  ax-6 1888  ax-7 1935  ax-10 2019  ax-12 2047  ax-13 2246

This theorem depends on definitions:  df-bi 197  df-or 385  df-an 386  df-ex 1705  df-nf 1710

This theorem is referenced by: (None)