diff --git a/Manual/Classes/InstanceDecls.lean b/Manual/Classes/InstanceDecls.lean
index 20f31659..778b66ab 100644
--- a/Manual/Classes/InstanceDecls.lean
+++ b/Manual/Classes/InstanceDecls.lean
@@ -292,7 +292,7 @@ instance instDecidableEqStringList : DecidableEq StringList
 tag := "instance-priorities"
 %%%
 
-Instances may be assigned {deftech}_priorities_.
+Instances may be assigned a {deftech}_priority_.
 During instance synthesis, higher-priority instances are preferred; see {ref "instance-synth"}[the section on instance synthesis] for details of instance synthesis.
 
 :::syntax prio open:=false (title := "Instance Priorities")
diff --git a/Manual/IO/Threads.lean b/Manual/IO/Threads.lean
index e420fc49..0d9204fb 100644
--- a/Manual/IO/Threads.lean
+++ b/Manual/IO/Threads.lean
@@ -52,7 +52,7 @@ Tasks may be explicitly cancelled using {name}`IO.cancel`.
 The Lean runtime maintains a thread pool for running tasks.
 The size of the thread pool is determined by the environment variable {envVar (def := true)}`LEAN_NUM_THREADS` if it is set, or by the number of logical processors on the current machine otherwise.
 The size of the thread pool is not a hard limit; in certain situations it may be exceeded to avoid deadlocks.
-By default, these threads are used to run tasks; each task has a {deftech}_priority_ ({name}`Task.Priority`), and higher-priority tasks take precedence over lower-priority tasks.
+By default, these threads are used to run tasks; each task has a {deftech}_task priority_ ({name}`Task.Priority`), and higher-priority tasks take precedence over lower-priority tasks.
 Tasks may also be assigned to dedicated threads by spawning them with a sufficiently high priority.
 
 {docstring Task (label := "type") (hideStructureConstructor := true) (hideFields := true)}