(** *** Sign of inverse *)

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(** ** Miscellaneous                                     *)
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(* This can't be moved to "Order and addition" because of Rlt_0_1 which is proved using a sign rule. *)
(* TODO: We may want to deprecate it but cannot because of the hint used in external libs (the stdlib can already be compiled without it) *)
Lemma Rle_lt_0_plus_1 : forall r, 0 <= r -> 0 < r + 1.
#[global]
Hint Resolve Rle_lt_0_plus_1: real.