lean2/tests/lean/tst11.lean.expected.out

  Set: pp::colors
  Set: pp::unicode
  Defined: xor
⊤ ⊕ ⊥
⊥
⊤
  Assumed: a
a ⊕ a ⊕ a
Subst::explicit : Π (A : Type U) (a b : A) (P : A → Bool), (P a) → (a == b) → (P b)
  Proved: EM2
EM2 : Π a : Bool, a ∨ ¬ a
EM2 a : a ∨ ¬ a
-												Modify verbose message for Set command

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

											
										
										
											2013-09-02 19:29:21 +00:00
+								  Set: pp::colors
-												Fix unit tests for Windows

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

											
										
										
											2013-09-03 17:44:51 +00:00
+								  Set: pp::unicode
-												Move files in examples directory to tests directory. They are not real examples

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

											
										
										
											2013-09-01 02:15:48 +00:00
+								  Defined: xor
 								⊤ ⊕ ⊥
 								⊥
 								⊤
 								  Assumed: a
 								a ⊕ a ⊕ a
-												refactor(equality): make homogeneous equality the default equality

It was not a good idea to use heterogeneous equality as the default equality in Lean.
It creates the following problems.

- Heterogeneous equality does not propagate constraints in the elaborator.
For example, suppose that l has type (List Int), then the expression
     l = nil
will not propagate the type (List Int) to nil.

- It is easy to write false. For example, suppose x has type Real, and the user
writes x = 0. This is equivalent to false, since 0 has type Nat. The elaborator cannot introduce
the coercion since x = 0 is a type correct expression.

Homogeneous equality does not suffer from the problems above.
We keep heterogeneous equality because it is useful for generating proof terms.

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

											
										
										
											2013-10-29 23:20:02 +00:00
+								Subst::explicit : Π (A : Type U) (a b : A) (P : A → Bool), (P a) → (a == b) → (P b)
-												Move files in examples directory to tests directory. They are not real examples

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

											
										
										
											2013-09-01 02:15:48 +00:00
+								  Proved: EM2
-												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
+								EM2 : Π a : Bool, a ∨ ¬ a
 								EM2 a : a ∨ ¬ a