diff --git a/commands/sdiffstore.md b/commands/sdiffstore.md
index 23cd59153..e95d8f5c5 100644
--- a/commands/sdiffstore.md
+++ b/commands/sdiffstore.md
@@ -1,7 +1,7 @@
 This command is equal to `SDIFF`, but instead of returning the resulting set, it
 is stored in `destination`.
 
-If `destination` already exists, it is overwritten.
+If `destination` already exists, it is overwritten (when the difference is nonempty) or deleted (when the difference is empty).
 
 @examples
 
diff --git a/commands/sinterstore.md b/commands/sinterstore.md
index e3e712f03..10ced5959 100644
--- a/commands/sinterstore.md
+++ b/commands/sinterstore.md
@@ -1,7 +1,7 @@
 This command is equal to `SINTER`, but instead of returning the resulting set,
 it is stored in `destination`.
 
-If `destination` already exists, it is overwritten.
+If `destination` already exists, it is overwritten (when the intersection is nonempty) or deleted (when the intersection is empty).
 
 @examples
 
diff --git a/commands/zdiffstore.md b/commands/zdiffstore.md
index d9d2e2cac..006f022ed 100644
--- a/commands/zdiffstore.md
+++ b/commands/zdiffstore.md
@@ -4,7 +4,7 @@ specified by `numkeys`.
 
 Keys that do not exist are considered to be empty sets.
 
-If `destination` already exists, it is overwritten.
+If `destination` already exists, it is overwritten (when the difference is nonempty) or deleted (when the difference is empty).
 
 @examples
 
diff --git a/commands/zinterstore.md b/commands/zinterstore.md
index 1d386aa3a..ff31d2a0d 100644
--- a/commands/zinterstore.md
+++ b/commands/zinterstore.md
@@ -11,7 +11,7 @@ be equal to the number of input sorted sets.
 
 For a description of the `WEIGHTS` and `AGGREGATE` options, see `ZUNIONSTORE`.
 
-If `destination` already exists, it is overwritten.
+If `destination` already exists, it is overwritten (when the intersection is nonempty) or deleted (when the intersection is empty).
 
 @examples