diff --git a/theories/base_logic/derived.v b/theories/base_logic/derived.v
index 5b1521234df9946d8f53dd3609586738f9342251..65187b820e61951340e7a812ab64671f96316524 100644
--- a/theories/base_logic/derived.v
+++ b/theories/base_logic/derived.v
@@ -29,8 +29,8 @@ Notation "â—‡ P" := (uPred_except_0 P)
 Instance: Params (@uPred_except_0) 1.
 Typeclasses Opaque uPred_except_0.
 
-Class Timeless {M} (P : uPred M) := timelessP : ▷ P ⊢ ◇ P.
-Arguments timelessP {_} _ {_}.
+Class Timeless {M} (P : uPred M) := timeless : ▷ P ⊢ ◇ P.
+Arguments timeless {_} _ {_}.
 Hint Mode Timeless + ! : typeclass_instances.
 Instance: Params (@Timeless) 1.
 
@@ -908,7 +908,7 @@ Proof.
 Qed.
 Global Instance valid_timeless {A : cmraT} `{CmraDiscrete A} (a : A) :
   Timeless (✓ a : uPred M)%I.
-Proof. rewrite /Timeless !discrete_valid. apply (timelessP _). Qed.
+Proof. rewrite /Timeless !discrete_valid. apply (timeless _). Qed.
 Global Instance and_timeless P Q: Timeless P → Timeless Q → Timeless (P ∧ Q).
 Proof. intros; rewrite /Timeless except_0_and later_and; auto. Qed.
 Global Instance or_timeless P Q : Timeless P → Timeless Q → Timeless (P ∨ Q).
@@ -951,11 +951,11 @@ Global Instance persistently_if_timeless p P : Timeless P → Timeless (□?p P)
 Proof. destruct p; apply _. Qed.
 Global Instance eq_timeless {A : ofeT} (a b : A) :
   Discrete a → Timeless (a ≡ b : uPred M)%I.
-Proof. intros. rewrite /Timeless !discrete_eq. apply (timelessP _). Qed.
+Proof. intros. rewrite /Timeless !discrete_eq. apply (timeless _). Qed.
 Global Instance ownM_timeless (a : M) : Discrete a → Timeless (uPred_ownM a).
 Proof.
   intros ?. rewrite /Timeless later_ownM. apply exist_elim=> b.
-  rewrite (timelessP (a≡b)) (except_0_intro (uPred_ownM b)) -except_0_and.
+  rewrite (timeless (a≡b)) (except_0_intro (uPred_ownM b)) -except_0_and.
   apply except_0_mono. rewrite internal_eq_sym. apply impl_elim_r'.
   apply: internal_eq_rewrite.
 Qed.
diff --git a/theories/proofmode/class_instances.v b/theories/proofmode/class_instances.v
index 04429acfb169f0b2e3152978cc9128e371110d33..d6abc608cb2d044e564138d30016e6ddbf279343 100644
--- a/theories/proofmode/class_instances.v
+++ b/theories/proofmode/class_instances.v
@@ -871,7 +871,7 @@ Qed.
 Global Instance elim_modal_timeless_bupd P Q :
   Timeless P → IsExcept0 Q → ElimModal (▷ P) P Q Q.
 Proof.
-  intros. rewrite /ElimModal (except_0_intro (_ -∗ _)) (timelessP P).
+  intros. rewrite /ElimModal (except_0_intro (_ -∗ _)) (timeless P).
   by rewrite -except_0_sep wand_elim_r.
 Qed.
 Global Instance elim_modal_timeless_bupd' p P Q :