lean2/tests/lean/cast4.lean.expected.out

  Set: pp::colors
  Set: pp::unicode
  Imported 'cast'
  Set: pp::colors
λ (A A' : TypeM)
  (B : A → TypeM)
  (B' : A' → TypeM)
  (f : ∀ x : A, B x)
  (g : ∀ x : A', B' x)
  (a : A)
  (b : A')
  (H2 : f == g)
  (H3 : a == b),
  hcongr H2 H3 :
    ∀ (A A' : TypeM)
      (B : A → TypeM)
      (B' : A' → TypeM)
      (f : ∀ x : A, B x)
      (g : ∀ x : A', B' x)
      (a : A)
      (b : A'),
      f == g → a == b → f a == g b
refactor(library/cast): replace cast semantic attachment with axioms, add heterogeneous symmetry axiom Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-22 02:23:37 +00:00			`Set: pp::colors`
			`Set: pp::unicode`
feat(frontends/lean/parser): disable verbose messages when importing files Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-28 20:24:13 +00:00			`Imported 'cast'`
refactor(library/cast): replace cast semantic attachment with axioms, add heterogeneous symmetry axiom Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-22 02:23:37 +00:00			`Set: pp::colors`
			`λ (A A' : TypeM)`
			`(B : A → TypeM)`
			`(B' : A' → TypeM)`
feat(kernel): use Pi as forall/implication Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-08 08:38:39 +00:00			`(f : ∀ x : A, B x)`
			`(g : ∀ x : A', B' x)`
refactor(library/cast): replace cast semantic attachment with axioms, add heterogeneous symmetry axiom Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-22 02:23:37 +00:00			`(a : A)`
			`(b : A')`
			`(H2 : f == g)`
			`(H3 : a == b),`
fix(builtin/cast): remove dominj axiom, it is not consistent with the new semantics of Pi/forall Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-09 00:19:11 +00:00			`hcongr H2 H3 :`
feat(kernel): use Pi as forall/implication Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-08 08:38:39 +00:00			`∀ (A A' : TypeM)`
			`(B : A → TypeM)`
			`(B' : A' → TypeM)`
			`(f : ∀ x : A, B x)`
			`(g : ∀ x : A', B' x)`
			`(a : A)`
			`(b : A'),`
fix(builtin/cast): remove dominj axiom, it is not consistent with the new semantics of Pi/forall Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-09 00:19:11 +00:00			`f == g → a == b → f a == g b`