diff --git a/docs/proof_guide.md b/docs/proof_guide.md
index cc1f820b3476f914b21499ba0089adbb1ccbdf57..284575f8742685a89157c5e68c9acbc9874f18dc 100644
--- a/docs/proof_guide.md
+++ b/docs/proof_guide.md
@@ -107,8 +107,8 @@ For details, consult [the Coq manual](https://coq.inria.fr/refman/user-extension
 
 ### small letters
 
-* a : A = cmraT or ofeT
-* b : B = cmraT or ofeT
+* a : A = cmra or ofe
+* b : B = cmra or ofe
 * c
 * d
 * e : expr = expressions
@@ -137,8 +137,8 @@ For details, consult [the Coq manual](https://coq.inria.fr/refman/user-extension
 
 ### capital letters
 
-* A : Type, cmraT or ofeT
-* B : Type, cmraT or ofeT
+* A : Type, cmra or ofe
+* B : Type, cmra or ofe
 * C
 * D
 * E : coPset = mask of fancy update or WP
@@ -187,5 +187,5 @@ For details, consult [the Coq manual](https://coq.inria.fr/refman/user-extension
 * G: global camera functor management (typeclass; see the [resource algebra docs](resource_algebras.md))
 * I: bunched implication logic (of type `bi`)
 * SI: step-indexed bunched implication logic (of type `sbi`)
-* T: canonical structures for algebraic classes (for example ofeT for OFEs, cmraT for cameras)
+* T: canonical structures for algebraic classes (for example ofe for OFEs, cmra for cameras)
 * Σ: global camera functor management (`gFunctors`; see the [resource algebra docs](resource_algebras.md))
diff --git a/docs/resource_algebras.md b/docs/resource_algebras.md
index 170552701ffd24b913d0621876134e38af4eb691..47553ecfb70ca661c9e2e7856aeb53806d9905fd 100644
--- a/docs/resource_algebras.md
+++ b/docs/resource_algebras.md
@@ -228,7 +228,7 @@ contractive.
 
 To compose these functors, we provide a number of combinators, e.g.:
 
-- `constOF (A : ofeT) : cFunctor           := λ (B,B⁻), A `
+- `constOF (A : ofe) : cFunctor            := λ (B,B⁻), A `
 - `idOF : cFunctor                         := λ (B,B⁻), B`
 - `prodOF (F1 F2 : cFunctor) : cFunctor    := λ (B,B⁻), F1 (B,B⁻) * F2 (B,B⁻)`
 - `ofe_morOF (F1 F2 : cFunctor) : cFunctor := λ (B,B⁻), F1 (B⁻,B) -n> F2 (B,B⁻)`