lean2/tests/lean/implicit1.lean.expected.out

  Set: pp::colors
  Set: pp::unicode
  Imported 'int'
  Imported 'real'
  Assumed: f
∀ a : ℤ, f a a > 0
∀ a b : ℤ, f a b > 0
  Assumed: g
∀ (a : ℤ) (b : ℝ), g a b > 0
∀ a b : ℤ, g a (f a b) > 0
  Set: lean::pp::coercion
∀ a b : ℤ, g a (int_to_real (f a b)) > nat_to_int 0
λ a : ℕ, a + 1
λ a b : ℕ, a + b
λ a b c : ℤ, a + c + b
(λ a b : ℕ, a + b) 10 20
  Assumed: x
λ a b : ℤ, a + x + b
-												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'

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

											
										
										
											2013-09-04 00:24:05 +00:00
+								  Set: pp::colors
 								  Set: pp::unicode
-												refactor(builtin): only load the kernel and natural numbers by default

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

											
										
										
											2013-12-30 21:35:37 +00:00
+								  Imported 'int'
 								  Imported 'real'
-												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'

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

											
										
										
											2013-09-04 00:24:05 +00:00
+								  Assumed: f
-												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 20:46:14 +00:00
+								∀ a : ℤ, f a a > 0
 								∀ a b : ℤ, f a b > 0
-												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'

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

											
										
										
											2013-09-04 00:24:05 +00:00
+								  Assumed: g
-												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 20:46:14 +00:00
+								∀ (a : ℤ) (b : ℝ), g a b > 0
 								∀ a b : ℤ, g a (f a b) > 0
-												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'

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

											
										
										
											2013-09-04 00:24:05 +00:00
+								  Set: lean::pp::coercion
-												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 20:46:14 +00:00
+								∀ a b : ℤ, g a (int_to_real (f a b)) > nat_to_int 0
-												Add unicode name for the types: Nat, Int and Real

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

											
										
										
											2013-09-04 16:03:41 +00:00
+								λ a : ℕ, a + 1
-												fix(tests/lean): adjust tests

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

											
										
										
											2013-10-24 22:42:17 +00:00
+								λ a b : ℕ, a + b
-												Add unicode name for the types: Nat, Int and Real

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

											
										
										
											2013-09-04 16:03:41 +00:00
+								λ a b c : ℤ, a + c + b
-												fix(tests/lean): adjust tests

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

											
										
										
											2013-10-24 22:42:17 +00:00
+								(λ a b : ℕ, a + b) 10 20
-												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'

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

											
										
										
											2013-09-04 00:24:05 +00:00
+								  Assumed: x
-												Add unicode name for the types: Nat, Int and Real

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

											
										
										
											2013-09-04 16:03:41 +00:00
+								λ a b : ℤ, a + x + b