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Author SHA1 Message Date
Leonardo de Moura
411ebbc3c1 refactor(library/basic_thms): move the proof of all basic theorems to a .Lean file 
This commit also adds several new theorems that are useful for implementing the simplifier.
TODO: perhaps we should remove the declarations at basic_thms.h?

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-29 03:04:49 -08:00
Leonardo de Moura
df58eb132e feat(frontends/lean): simplify explicit version names 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-21 17:05:25 -08:00
Leonardo de Moura
f43db96e1f fix(frontends/lean/pp): pretty printer for Type 
Add parenthesis around Type when it has a universe.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-19 15:24:45 -08:00
Leonardo de Moura
bff5a6bfb2 fix(frontends/lean/pp): make sure pp and parser are using the same precedences 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-19 12:46:14 -08:00
Leonardo de Moura
2ddcc32c1d fix(frontends/lean/notation): change the precedence of '->' 
It should match the precedence of the implication '=>'.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-12-06 13:23:24 -08:00
Leonardo de Moura
4dd6cead83 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 16:20:06 -07:00
Leonardo de Moura
c1c1af4b98 fix(tests/lean): add parenthesis 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-10-24 20:04:50 -07:00
Leonardo de Moura
d2f9c24d3c fix(tests/lean): adjust tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-10-24 15:42:17 -07:00
Leonardo de Moura
4c67721d32 Fix test error on Cygwin 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-09 18:35:11 -07:00
Leonardo de Moura
2ca30571b4 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>
 2013-09-08 22:55:21 -07:00
Leonardo de Moura
df116f88e0 Improve pretty printer for Pi's 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-08 11:04:07 -07:00
Leonardo de Moura
a341643335 Fix unit tests for Windows 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-03 10:44:51 -07:00
Leonardo de Moura
e218b92a9d Modify verbose message for Set command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-02 12:29:21 -07:00
Leonardo de Moura
0a67679afb Add natural numbers. Fix how coercions and overloads interact (switch to approach used in C++). Add notation for natural and integer arithmetic. Rename m and u universe variables to M and U. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-02 12:24:29 -07:00
Leonardo de Moura
a3bbd9fbb5 Minimize use the colors in tests. The colors make the diff hard to read 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-09-01 10:34:57 -07:00
Leonardo de Moura
51640ecff8 Move files in examples directory to tests directory. They are not real examples 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2013-08-31 19:16:30 -07:00