diff --git a/include/mbedtls/pk.h b/include/mbedtls/pk.h
index 20be7e6737..90f4ac63a1 100644
--- a/include/mbedtls/pk.h
+++ b/include/mbedtls/pk.h
@@ -394,35 +394,36 @@ int mbedtls_pk_setup_opaque(mbedtls_pk_context *ctx,
 /**
  * \brief           Create a PK context starting from a key stored in PSA.
  *                  This key:
- *                  - must have PSA_KEY_USAGE_EXPORT attribute set and
- *                  - must be a either a RSA or EC (DH is not managed in PK) and
+ *                  - must be exportabel and
+ *                  - must be a either an RSA or EC key (DH is not managed in PK) and
  *                  - must be either a key pair or a public key.
  *
  *                  The resulting PK object will be a transparent type:
- *                  - MBEDTLS_PK_RSA for RSA keys or
- *                  - MBEDTLS_PK_ECKEY for EC keys.
+ *                  - #MBEDTLS_PK_RSA for RSA keys or
+ *                  - #MBEDTLS_PK_ECKEY for EC keys.
+ *
  *                  Once this functions returns the PK object will be completely
  *                  independent from the original PSA key that it was generated
  *                  from.
- *                  Calling `mbedtls_pk_sign`, `mbedtls_pk_verify`,
- *                  `mbedtls_pk_encrypt`, `mbedtls_pk_decrypt` on the resulting
+ *                  Calling mbedtls_pk_sign(), mbedtls_pk_verify(),
+ *                  mbedtls_pk_encrypt(), mbedtls_pk_decrypt() on the resulting
  *                  PK context will perform an algorithm that is compatible with
  *                  the PSA key's primary algorithm policy if that is a matching
  *                  operation type (sign/verify, encrypt/decrypt), but with no
  *                  restriction on the hash (as if the policy had
- *                  `PSA_ALG_ANY_HASH` instead of a specific hash, and with
- *                  `PSA_ALG_RSA_PKCS1V15_SIGN_RAW` merged with
- *                  `PSA_ALG_RSA_PKCS1V15_SIGN(hash_alg)`).
+ *                  #PSA_ALG_ANY_HASH instead of a specific hash, and with
+ *                  #PSA_ALG_RSA_PKCS1V15_SIGN_RAW merged with
+ *                  #PSA_ALG_RSA_PKCS1V15_SIGN(\c hash_alg)).
  *                  * For ECDSA, the choice of deterministic vs randomized will
- *                    be based on the compile-time setting `MBEDTLS_ECDSA_DETERMINISTIC`.
+ *                    be based on the compile-time setting #MBEDTLS_ECDSA_DETERMINISTIC.
  *                  * For an RSA key, the output key will allow both encrypt/decrypt
  *                    and sign/verify regardless of the original key's policy.
  *                    The original key's policy determines the output key's padding
  *                    mode.
  *
- * \param key_id    The ID of the key stored in PSA.
+ * \param key_id    The key identifier of the key stored in PSA.
  * \param pk        The PK context that will be filled. It must be initialized,
- *                  but not setup.
+ *                  but not set up.
  *
  * \return          0 on success.
  * \return          MBEDTLS_ERR_PK_BAD_INPUT_DATA in case the provided input