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

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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
Assumed: f
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
∀ 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
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
∀ (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
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
∀ a b : ℤ, (g a (int_to_real (f a b))) > (nat_to_int 0)
λ a : ℕ, a + 1
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
Error (line: 10, pos: 18) ambiguous overloads
Candidates:
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
Real::add : ℝ → ℝ → ℝ
Int::add : ℤ → ℤ → ℤ
Nat::add : ℕ → ℕ → ℕ
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
Arguments:
a : lift:0:2 ?M0
b : lift:0:1 ?M2
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
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
Error (line: 17, pos: 19) ambiguous overloads
Candidates:
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
Real::add : ℝ → ℝ → ℝ
Int::add : ℤ → ℤ → ℤ
Nat::add : ℕ → ℕ → ℕ
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
Arguments:
a : lift:0:2 ?M0
b : lift:0:1 ?M2
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
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