Theorem axi10 2331

Description: Axiom of Quantifier Substitution (intuitionistic logic axiom ax-10). This is just ax10 1944 by another name. (Contributed by Jim Kingdon, 31-Dec-2017.)

Assertion

Ref	Expression
axi10	⊢ (∀x x = y → ∀y y = x)

Proof of Theorem axi10

Step	Hyp	Ref	Expression
1		ax10 1944	1 ⊢ (∀x x = y → ∀y y = x)

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-7 1734  ax-11 1746  ax-12 1925

This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545

This theorem is referenced by: (None)