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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
..
slow Move 'slow' test files to different subdir. Modify CTestCustom.cmake.in to run leantests. 2013-09-06 08:48:12 -07:00
arith1.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
arith1.lean.expected.out feat(frontends/lean/elaborator): solve easy overloads at preprocessing time 2013-10-29 10:07:15 -07:00
arith2.lean Add Real arithmetic. Fix elaborator for coercions. Now, two overloads are considered ambiguous if they need the same number of coercions. Improve pretty printer for nest infix operators with same precedence and associativity. 2013-09-02 13:20:00 -07:00
arith2.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
arith3.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
arith3.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
arith4.lean Add trigonometric functions 2013-09-02 17:03:02 -07:00
arith4.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
arith5.lean Add hyperbolic functions 2013-09-02 17:28:43 -07:00
arith5.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
arith6.lean Define divides, and add examples 2013-09-03 20:18:20 -07:00
arith6.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
arith7.lean Define absolute value function and notation for it. Add new example. 2013-09-03 20:39:54 -07:00
arith7.lean.expected.out feat(frontends/lean): make the first argument of if-expression implicit, add support for marking implicit arguments on builtin symbols (aka semantic attachments) 2013-10-29 15:53:50 -07:00
arith8.lean Parse decimal values 2013-09-06 08:48:12 -07:00
arith8.lean.expected.out Parse decimal values 2013-09-06 08:48:12 -07:00
arrow.lean Improve pretty printer for Pi's 2013-09-08 11:04:07 -07:00
arrow.lean.expected.out Improve pretty printer for Pi's 2013-09-08 11:04:07 -07:00
bad1.lean test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad1.lean.expected.out test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad2.lean fix(tests/lean): remove obsolete comments 2013-10-24 20:16:02 -07:00
bad2.lean.expected.out fix(tests/lean): remove obsolete comments 2013-10-24 20:16:02 -07:00
bad3.lean test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad3.lean.expected.out test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad4.lean test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad4.lean.expected.out test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad5.lean test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad5.lean.expected.out test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad6.lean test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad6.lean.expected.out test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad7.lean test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
bad7.lean.expected.out test(frontends/lean): all 'bad' examples can be solved 2013-10-24 20:12:58 -07:00
cast1.lean Add Cast, DomInj and RanInj. Improve operator << for lean_frontend objects. 2013-09-06 18:32:15 -07:00
cast1.lean.expected.out Display the input term in the output of the Check command. It is useful to see the fully elaborated term. 2013-09-08 22:55:21 -07:00
cast2.lean Add Cast, DomInj and RanInj. Improve operator << for lean_frontend objects. 2013-09-06 18:32:15 -07:00
cast2.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
cast3.lean Add casting propagation and normalization 2013-09-06 20:45:26 -07:00
cast3.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
coercion1.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
coercion1.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
coercion2.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
coercion2.lean.expected.out Fix test error on Cygwin 2013-09-09 18:35:11 -07:00
config.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
config.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
conv.lean test(conversion): add more conversion tests 2013-10-15 15:35:08 -07:00
conv.lean.expected.out fix(tests/lean): add parenthesis 2013-10-24 20:04:50 -07:00
elab1.lean refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
elab1.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
elab2.lean Fix bug in the elaborator. Move character ' to class A 2013-09-06 17:12:35 -07:00
elab2.lean.expected.out fix(tests/lean): adjust tests 2013-10-24 15:42:17 -07:00
elab3.lean Add missing case to elaborator 2013-09-06 17:43:08 -07:00
elab3.lean.expected.out fix(tests/lean): adjust tests 2013-10-24 15:42:17 -07:00
elab4.lean Fix problem with pretty printer. Add another test for elaborator 2013-09-06 18:01:11 -07:00
elab4.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
elab5.lean Display the input term in the output of the Check command. It is useful to see the fully elaborated term. 2013-09-08 22:55:21 -07:00
elab5.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
eq1.lean refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
eq1.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
ex1.lean Add test script 2013-08-31 18:31:39 -07:00
ex1.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
ex2.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
ex2.lean.expected.out Improve application type mismatch errors. We also show the implicit arguments (not just their types) 2013-09-04 16:36:58 -07:00
ex3.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
ex3.lean.expected.out fix(tests/lean): adjust error messages in the expected output 2013-10-24 19:27:26 -07:00
ho.lean test(frontends/lean): add example showing higher order matching is working, and is useful 2013-10-24 20:18:48 -07:00
ho.lean.expected.out feat(frontends/lean): make the first argument of if-expression implicit, add support for marking implicit arguments on builtin symbols (aka semantic attachments) 2013-10-29 15:53:50 -07:00
implicit1.lean Modify the parser for accepting expressions such as: 'fun a b, f a b', 'forall a, f a > 0', etc. This is just syntax sugar for 'fun (a : _) (b : _), f a b' and 'forall a : _, f a > 0' 2013-09-03 17:24:05 -07:00
implicit1.lean.expected.out fix(tests/lean): adjust tests 2013-10-24 15:42:17 -07:00
let1.lean Add (optional) type to let declarations 2013-09-06 10:06:26 -07:00
let1.lean.expected.out Display the input term in the output of the Check command. It is useful to see the fully elaborated term. 2013-09-08 22:55:21 -07:00
let2.lean Add (optional) type to let declarations 2013-09-06 10:06:26 -07:00
let2.lean.expected.out Add (optional) type to let declarations 2013-09-06 10:06:26 -07:00
let3.lean Add (optional) type to let declarations 2013-09-06 10:06:26 -07:00
let3.lean.expected.out Add (optional) type to let declarations 2013-09-06 10:06:26 -07:00
let4.lean Fix type checker and elaborator for let expressions. Fix get_coercions (we need to pass the context). Fix pretty printer for def_type_mismatch_exception. 2013-09-06 11:02:00 -07:00
let4.lean.expected.out fix(tests/lean): adjust error messages in the expected output 2013-10-24 19:27:26 -07:00
overload1.lean Add support for overloads in the elaborator 2013-09-01 14:54:02 -07:00
overload1.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
overload2.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
overload2.lean.expected.out fix(kernel/metavar): add normalize assignment justification 2013-10-27 11:02:34 -07:00
test.sh Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst1.lean feat(frontends/lean): make the first argument of if-expression implicit, add support for marking implicit arguments on builtin symbols (aka semantic attachments) 2013-10-29 15:53:50 -07:00
tst1.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
tst2.lean Move files in examples directory to tests directory. They are not real examples 2013-08-31 19:16:30 -07:00
tst2.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst3.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst3.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst4.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst4.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
tst5.lean refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
tst5.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
tst6.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst6.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
tst7.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst7.lean.expected.out fix(tests/lean): adjust error messages in the expected output 2013-10-24 19:27:26 -07:00
tst8.lean Add missing test 2013-09-03 14:51:34 -07:00
tst8.lean.expected.out Display the input term in the output of the Check command. It is useful to see the fully elaborated term. 2013-09-08 22:55:21 -07:00
tst9.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst9.lean.expected.out fix(tests/lean): adjust tests 2013-10-24 15:42:17 -07:00
tst10.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst10.lean.expected.out feat(frontends/lean): make the first argument of if-expression implicit, add support for marking implicit arguments on builtin symbols (aka semantic attachments) 2013-10-29 15:53:50 -07:00
tst11.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst11.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
tst12.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst12.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst13.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst13.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst14.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst14.lean.expected.out Display the input term in the output of the Check command. It is useful to see the fully elaborated term. 2013-09-08 22:55:21 -07:00
tst15.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst15.lean.expected.out fix(tests/lean): add parenthesis 2013-10-24 20:04:50 -07:00
tst16.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst16.lean.expected.out Display the input term in the output of the Check command. It is useful to see the fully elaborated term. 2013-09-08 22:55:21 -07:00
tst17.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
tst17.lean.expected.out refactor(equality): make homogeneous equality the default equality 2013-10-29 16:20:06 -07:00
unicode.lean Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
unicode.lean.expected.out Fix unit tests for Windows 2013-09-03 10:44:51 -07:00
vars1.lean Add 'Variables' command. 2013-09-06 08:48:12 -07:00
vars1.lean.expected.out Add 'Variables' command. 2013-09-06 08:48:12 -07:00