diff --git a/include/secp256k1.h b/include/secp256k1.h
index 7145dbcc54a..f268e309d0b 100644
--- a/include/secp256k1.h
+++ b/include/secp256k1.h
@@ -47,11 +47,8 @@ typedef struct secp256k1_context_struct secp256k1_context;
  *  The exact representation of data inside is implementation defined and not
  *  guaranteed to be portable between different platforms or versions. It is
  *  however guaranteed to be 64 bytes in size, and can be safely copied/moved.
- *  If you need to convert to a format suitable for storage or transmission, use
- *  secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse.
- *
- *  Furthermore, it is guaranteed that identical public keys (ignoring
- *  compression) will have identical representation, so they can be memcmp'ed.
+ *  If you need to convert to a format suitable for storage, transmission, or
+ *  comparison, use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse.
  */
 typedef struct {
     unsigned char data[64];
@@ -62,12 +59,9 @@ typedef struct {
  *  The exact representation of data inside is implementation defined and not
  *  guaranteed to be portable between different platforms or versions. It is
  *  however guaranteed to be 64 bytes in size, and can be safely copied/moved.
- *  If you need to convert to a format suitable for storage or transmission, use
- *  the secp256k1_ecdsa_signature_serialize_* and
+ *  If you need to convert to a format suitable for storage, transmission, or
+ *  comparison, use the secp256k1_ecdsa_signature_serialize_* and
  *  secp256k1_ecdsa_signature_serialize_* functions.
- *
- *  Furthermore, it is guaranteed to identical signatures will have identical
- *  representation, so they can be memcmp'ed.
  */
 typedef struct {
     unsigned char data[64];