diff options
Diffstat (limited to 'coqprime/Coqprime/ZCAux.v')
| -rw-r--r-- | coqprime/Coqprime/ZCAux.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/coqprime/Coqprime/ZCAux.v b/coqprime/Coqprime/ZCAux.v index aa47fb655..de03a2fe2 100644 --- a/coqprime/Coqprime/ZCAux.v +++ b/coqprime/Coqprime/ZCAux.v @@ -12,10 +12,10 @@ Auxillary functions & Theorems **********************************************************************) -Require Import Coq.setoid_ring.ArithRing. -Require Export Coq.ZArith.ZArith Coq.ZArith.Zpow_facts. -Require Export Coq.ZArith.Znumtheory. -Require Export Coqprime.Tactic. +Require Import ArithRing. +Require Export ZArith Zpow_facts. +Require Export Znumtheory. +Require Export Tactic. Theorem Zdivide_div_prime_le_square: forall x, 1 < x -> ~prime x -> exists p, prime p /\ (p | x) /\ p * p <= x. intros x Hx; generalize Hx; pattern x; apply Z_lt_induction; auto with zarith. |