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Idris2/tests/idris2/coverage007/eq.idr

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Better checking for empty types This improves coverage checking, because it can now see that things like (Z = S x) and (x = S x) are empty. Previously, it only checked that all possible constructors had a disjoint index. Now, it looks for matches and checks for disjointness in the matches, which catches a lot more things especially with equality.
2020-05-23 13:03:54 +03:00
eq1 : (x : Nat) -> (x = S x) -> Nat
eq1 x p impossible
Remove trailing whitespaces and add trailing newlines
2021-01-16 10:03:45 +03:00
Better checking for empty types This improves coverage checking, because it can now see that things like (Z = S x) and (x = S x) are empty. Previously, it only checked that all possible constructors had a disjoint index. Now, it looks for matches and checks for disjointness in the matches, which catches a lot more things especially with equality.
2020-05-23 13:03:54 +03:00
eq2 : (x : Nat) -> (S x = Z) -> Nat
eq2 x p impossible
Remove trailing whitespaces and add trailing newlines
2021-01-16 10:03:45 +03:00
Better checking for empty types This improves coverage checking, because it can now see that things like (Z = S x) and (x = S x) are empty. Previously, it only checked that all possible constructors had a disjoint index. Now, it looks for matches and checks for disjointness in the matches, which catches a lot more things especially with equality.
2020-05-23 13:03:54 +03:00
eq3 : (x : Nat) -> (S (S x) = (S x)) -> Nat
eq3 x p impossible
Remove trailing whitespaces and add trailing newlines
2021-01-16 10:03:45 +03:00
Better checking for empty types This improves coverage checking, because it can now see that things like (Z = S x) and (x = S x) are empty. Previously, it only checked that all possible constructors had a disjoint index. Now, it looks for matches and checks for disjointness in the matches, which catches a lot more things especially with equality.
2020-05-23 13:03:54 +03:00
eq4 : (x : Nat) -> (S x = x) -> Nat
eq4 x p impossible
Remove trailing whitespaces and add trailing newlines
2021-01-16 10:03:45 +03:00
Better checking for empty types This improves coverage checking, because it can now see that things like (Z = S x) and (x = S x) are empty. Previously, it only checked that all possible constructors had a disjoint index. Now, it looks for matches and checks for disjointness in the matches, which catches a lot more things especially with equality.
2020-05-23 13:03:54 +03:00
eq5 : (x : Nat) -> (Z = S x) -> Nat
eq5 x p impossible
Remove trailing whitespaces and add trailing newlines
2021-01-16 10:03:45 +03:00
Better checking for empty types This improves coverage checking, because it can now see that things like (Z = S x) and (x = S x) are empty. Previously, it only checked that all possible constructors had a disjoint index. Now, it looks for matches and checks for disjointness in the matches, which catches a lot more things especially with equality.
2020-05-23 13:03:54 +03:00
eq6 : (x : Nat) -> (S x = (S (S x))) -> Nat
eq6 x p impossible
eqL1 : (xs : List a) -> (x :: xs = []) -> Nat
eqL1 xs p impossible
eqL2 : (xs : List a) -> (x :: xs = x :: y :: xs) -> Nat
eqL2 xs p impossible
badeq : (x : Nat) -> (y : Nat) -> (S (S x) = S y) -> Nat
badeq x y p impossible
badeqL : (xs : List a) -> (ys : List a) -> (x :: xs = x :: y :: ys) -> Nat
[ typo ] in test coverage007
2020-05-23 15:25:19 +03:00
badeqL xs ys p impossible
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