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[search] Don't bail on non existing kind registration.
This is an alternative to coq#12537 which is closer to behavior in previous versions and may be safer for 8.12 than changing the kernel semantics on module includes. The updated search in coq#8855 introduced a way to filter by "command kinds", but, as explained by Hugo Herbelin, these kinds do not always exist, so a `Not_found` exception was breaking `Search`. We now handle the exception properly, no kind-free queries should work as in 8.11. Fixes coq#12525 coq#12647
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Nat.lcm_diag: forall n : nat, Nat.lcm n n = n | ||
Nat.divide_lcm_r: forall a b : nat, Nat.divide b (Nat.lcm a b) | ||
Nat.divide_lcm_l: forall a b : nat, Nat.divide a (Nat.lcm a b) | ||
Nat.lcm_0_l: forall n : nat, Nat.lcm 0 n = 0 | ||
Nat.lcm_0_r: forall n : nat, Nat.lcm n 0 = 0 | ||
Nat.lcm_comm: forall a b : nat, Nat.lcm a b = Nat.lcm b a | ||
Nat.lcm_1_r: forall n : nat, Nat.lcm n 1 = n | ||
Nat.lcm_1_l: forall n : nat, Nat.lcm 1 n = n | ||
Nat.divide_lcm_eq_r: forall n m : nat, Nat.divide n m -> Nat.lcm n m = m | ||
Nat.lcm_least: | ||
forall a b c : nat, | ||
Nat.divide a c -> Nat.divide b c -> Nat.divide (Nat.lcm a b) c | ||
Nat.lcm_assoc: | ||
forall n m p : nat, Nat.lcm n (Nat.lcm m p) = Nat.lcm (Nat.lcm n m) p | ||
Nat.divide_lcm_iff: forall n m : nat, Nat.divide n m <-> Nat.lcm n m = m | ||
Nat.lcm_mul_mono_r: | ||
forall n m p : nat, Nat.lcm (n * p) (m * p) = Nat.lcm n m * p | ||
Nat.lcm_mul_mono_l: | ||
forall n m p : nat, Nat.lcm (p * n) (p * m) = p * Nat.lcm n m | ||
Nat.lcm_divide_iff: | ||
forall n m p : nat, | ||
Nat.divide (Nat.lcm n m) p <-> Nat.divide n p /\ Nat.divide m p | ||
Nat.lcm_wd: | ||
Morphisms.Proper (Morphisms.respectful eq (Morphisms.respectful eq eq)) | ||
Nat.lcm | ||
Nat.lcm_eq_0: forall n m : nat, Nat.lcm n m = 0 <-> n = 0 \/ m = 0 | ||
Nat.lcm_unique_alt: | ||
forall n m p : nat, | ||
0 <= p -> | ||
(forall q : nat, Nat.divide p q <-> Nat.divide n q /\ Nat.divide m q) -> | ||
Nat.lcm n m = p | ||
Nat.lcm_unique: | ||
forall n m p : nat, | ||
0 <= p -> | ||
Nat.divide n p -> | ||
Nat.divide m p -> | ||
(forall q : nat, Nat.divide n q -> Nat.divide m q -> Nat.divide p q) -> | ||
Nat.lcm n m = p | ||
Nat.gcd_1_lcm_mul: | ||
forall n m : nat, | ||
n <> 0 -> m <> 0 -> Nat.gcd n m = 1 <-> Nat.lcm n m = n * m | ||
Nat.lcm_diag: forall n : nat, Nat.lcm n n = n | ||
Nat.divide_lcm_r: forall a b : nat, Nat.divide b (Nat.lcm a b) | ||
Nat.divide_lcm_l: forall a b : nat, Nat.divide a (Nat.lcm a b) | ||
Nat.lcm_0_l: forall n : nat, Nat.lcm 0 n = 0 | ||
Nat.lcm_0_r: forall n : nat, Nat.lcm n 0 = 0 | ||
Nat.lcm_comm: forall a b : nat, Nat.lcm a b = Nat.lcm b a | ||
Nat.lcm_1_r: forall n : nat, Nat.lcm n 1 = n | ||
Nat.lcm_1_l: forall n : nat, Nat.lcm 1 n = n | ||
Nat.divide_lcm_eq_r: forall n m : nat, Nat.divide n m -> Nat.lcm n m = m | ||
Nat.lcm_least: | ||
forall a b c : nat, | ||
Nat.divide a c -> Nat.divide b c -> Nat.divide (Nat.lcm a b) c | ||
Nat.lcm_assoc: | ||
forall n m p : nat, Nat.lcm n (Nat.lcm m p) = Nat.lcm (Nat.lcm n m) p | ||
Nat.divide_lcm_iff: forall n m : nat, Nat.divide n m <-> Nat.lcm n m = m | ||
Nat.lcm_mul_mono_r: | ||
forall n m p : nat, Nat.lcm (n * p) (m * p) = Nat.lcm n m * p | ||
Nat.lcm_mul_mono_l: | ||
forall n m p : nat, Nat.lcm (p * n) (p * m) = p * Nat.lcm n m | ||
Nat.lcm_divide_iff: | ||
forall n m p : nat, | ||
Nat.divide (Nat.lcm n m) p <-> Nat.divide n p /\ Nat.divide m p | ||
Nat.lcm_wd: | ||
Morphisms.Proper (Morphisms.respectful eq (Morphisms.respectful eq eq)) | ||
Nat.lcm | ||
Nat.lcm_eq_0: forall n m : nat, Nat.lcm n m = 0 <-> n = 0 \/ m = 0 | ||
Nat.lcm_unique_alt: | ||
forall n m p : nat, | ||
0 <= p -> | ||
(forall q : nat, Nat.divide p q <-> Nat.divide n q /\ Nat.divide m q) -> | ||
Nat.lcm n m = p | ||
Nat.lcm_unique: | ||
forall n m p : nat, | ||
0 <= p -> | ||
Nat.divide n p -> | ||
Nat.divide m p -> | ||
(forall q : nat, Nat.divide n q -> Nat.divide m q -> Nat.divide p q) -> | ||
Nat.lcm n m = p | ||
Nat.gcd_1_lcm_mul: | ||
forall n m : nat, | ||
n <> 0 -> m <> 0 -> Nat.gcd n m = 1 <-> Nat.lcm n m = n * m |
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Require Import Arith. | ||
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Search Nat.lcm. | ||
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Module M. | ||
Search Nat.lcm. | ||
End M. |
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