lean2/tests/lean/cast3.lean.expected.out

  Set: pp::colors
  Set: pp::unicode
  Assumed: cast
  Assumed: CastEq
  Assumed: CastApp
  Assumed: DomInj
  Assumed: RanInj
  Assumed: A
  Assumed: A'
  Assumed: B
  Assumed: B'
  Assumed: x
cast (Refl A) x
x == cast (Refl A) x
  Assumed: b
  Defined: f
  Assumed: H
  Assumed: a'
cast H (λ x : A, b) a'
  Assumed: H2
  Defined: g
0
g (cast H2 f a') : ℕ
cast H2 (λ x : A, b) a'
  Assumed: A1
  Assumed: A2
  Assumed: A3
  Assumed: Ha
  Assumed: Hb
  Assumed: a
cast Hb (cast Ha a)
cast Hb (cast Ha a) : A3
-												Add casting propagation and normalization

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

											
										
										
											2013-09-07 03:45:26 +00:00
+								  Set: pp::colors
 								  Set: pp::unicode
-												refactor(library/cast): use .lean file instead of .cpp file to define casting library

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

											
										
										
											2013-12-24 06:04:19 +00:00
+								  Assumed: cast
 								  Assumed: CastEq
 								  Assumed: CastApp
 								  Assumed: DomInj
 								  Assumed: RanInj
-												Add casting propagation and normalization

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

											
										
										
											2013-09-07 03:45:26 +00:00
+								  Assumed: A
 								  Assumed: A'
 								  Assumed: B
 								  Assumed: B'
 								  Assumed: 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
+								cast (Refl A) x
 								x == cast (Refl A) x
-												Add casting propagation and normalization

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

											
										
										
											2013-09-07 03:45:26 +00:00
+								  Assumed: b
 								  Defined: f
 								  Assumed: H
 								  Assumed: a'
-												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
+								cast H (λ x : A, b) a'
-												Add casting propagation and normalization

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

											
										
										
											2013-09-07 03:45:26 +00:00
+								  Assumed: H2
 								  Defined: g
 
-												Display the input term in the output of the Check command. It is useful to see the fully elaborated term.

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

											
										
										
											2013-09-09 05:54:22 +00:00
+								g (cast H2 f a') : ℕ
-												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
+								cast H2 (λ x : A, b) a'
-												Add casting propagation and normalization

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

											
										
										
											2013-09-07 03:45:26 +00:00
+								  Assumed: A1
 								  Assumed: A2
 								  Assumed: A3
 								  Assumed: Ha
 								  Assumed: Hb
 								  Assumed: a
-												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
+								cast Hb (cast Ha a)
-												Display the input term in the output of the Check command. It is useful to see the fully elaborated term.

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

											
										
										
											2013-09-09 05:54:22 +00:00
+								cast Hb (cast Ha a) : A3