lean2/tests/lean/abst.lean.expected.out

  Set: pp::colors
  Set: pp::unicode
  Imported 'Int'
  Assumed: PlusComm
  Assumed: a
funext (λ x : ℤ, PlusComm a x) : (λ x : ℤ, a + x) = (λ x : ℤ, x + a)
  Set: lean::pp::implicit
@funext ℤ (λ x : ℤ, ℤ) (λ x : ℤ, a + x) (λ x : ℤ, x + a) (λ x : ℤ, PlusComm a x) :
    @eq (∀ x : ℤ, (λ x : ℤ, ℤ) x) (λ x : ℤ, a + x) (λ x : ℤ, x + a)
-												feat(kernel): add abstraction (aka function extensionality) axiom

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2013-12-01 13:56:38 -08:00
+								  Set: pp::colors
 								  Set: pp::unicode
-												chore(builtin): rename nat, int and real modules to Nat, Int and Real.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2014-01-01 13:52:25 -08:00
+								  Imported 'Int'
-												feat(kernel): add abstraction (aka function extensionality) axiom

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2013-12-01 13:56:38 -08:00
+								  Assumed: PlusComm
 								  Assumed: a
-												refactor(kernel): remove heterogeneous equality

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2014-01-16 15:07:51 -08:00
+								funext (λ x : ℤ, PlusComm a x) : (λ x : ℤ, a + x) = (λ x : ℤ, x + a)
-												feat(kernel): add abstraction (aka function extensionality) axiom

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2013-12-01 13:56:38 -08:00
+								  Set: lean::pp::implicit
-												refactor(builtin/kernel): prove eta using function extensionality, and rename abst and abstpi to funext and allext

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2014-01-08 17:25:14 -08:00
+								@funext ℤ (λ x : ℤ, ℤ) (λ x : ℤ, a + x) (λ x : ℤ, x + a) (λ x : ℤ, PlusComm a x) :
-												refactor(kernel): remove heterogeneous equality

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2014-01-16 15:07:51 -08:00
+								    @eq (∀ x : ℤ, (λ x : ℤ, ℤ) x) (λ x : ℤ, a + x) (λ x : ℤ, x + a)