diff --git a/.github/workflows/pytest.yml b/.github/workflows/pytest.yml
index b5c899a..62af23d 100644
--- a/.github/workflows/pytest.yml
+++ b/.github/workflows/pytest.yml
@@ -96,7 +96,7 @@ jobs:
       # carries, or a change to them is not exercised until after it merges.
       # Consumers use the action; this repository owns the rules.
       - name: Refuse a skip, and a suite that shrank
-        run: tools/check-test-outcome.py "$RUNNER_TEMP/pytest.log" --min-tests 383
+        run: tools/check-test-outcome.py "$RUNNER_TEMP/pytest.log" --min-tests 390
 
       # The rules earn their place by refusing a log that carries what they
       # name. Both fixtures are written here rather than tracked, and the
diff --git a/parser/sqlfn.py b/parser/sqlfn.py
index 57e0487..a9796d4 100644
--- a/parser/sqlfn.py
+++ b/parser/sqlfn.py
@@ -992,3 +992,32 @@ def lint_sqlfn_case_collisions(idl, multi=None):
             if sf:
                 by_lower.setdefault(sf.lower(), set()).add(sf)
     return sorted((lo, sorted(sp)) for lo, sp in by_lower.items() if len(sp) > 1)
+
+
+def state_deployed_sqlfn(idl: dict) -> tuple[dict, int]:
+    """Set ``sqlfn`` to the one SQL name every signature of a function carries.
+
+    A wrapper's ``@sqlfn`` names one member of the family it serves: ``Set_in`` is
+    tagged ``intset_in()`` and backs ``floatset_in``, ``geomset_in`` and fifteen more,
+    and the signatures #attach_sqlfn_map keeps for ``floatset_in`` all carry
+    ``sqlName: floatset_in``, the name its ``CREATE FUNCTION`` deploys. When every
+    signature of a function carries one name, that name is the function's ``sqlfn``
+    and the signatures drop the ``sqlName`` that only restated it. A function whose
+    signatures carry several names keeps the tag, each signature its own name; a
+    ``sqlfnBackingOnly`` record, as #classify_backing_sqlfn of parser/portable.py marks
+    it, keeps its backing tag beside its ``publicSqlName``."""
+    n = 0
+    for f in idl.get("functions", []):
+        sigs = f.get("sqlSignatures")
+        if not sigs or f.get("sqlfnBackingOnly"):
+            continue
+        names = {s.get("sqlName", f["sqlfn"]) for s in sigs}
+        if len(names) != 1:
+            continue
+        name = names.pop()
+        for s in sigs:
+            s.pop("sqlName", None)
+        if name != f["sqlfn"]:
+            f["sqlfn"] = name
+            n += 1
+    return idl, n
diff --git a/run.py b/run.py
index 9911a7f..d5e544a 100644
--- a/run.py
+++ b/run.py
@@ -23,7 +23,7 @@
 from parser.sqlfn import (attach_sqlfn_map, attach_aggfn_map, attach_row_sources,
                           attach_sqlaggfn_map, lint_container_family_csqlfn,
                           lint_ea_sqlfn, lint_positional_sqlfn,
-                          lint_sqlfn_case_collisions)
+                          lint_sqlfn_case_collisions, state_deployed_sqlfn)
 from parser.doxygroup import attach_groups
 from parser.extractors import find_unlisted_foreign_structs
 from parser.families import all_families, use_headers_dir
@@ -276,6 +276,10 @@ def main():
         nbo = sum(1 for f in idl.get("functions", []) if f.get("sqlfnBackingOnly"))
         print(f"      Flagged {nbo} bbox-topological backing @sqlfn tag(s) "
               f"(sqlfnBackingOnly)", file=sys.stderr)
+        # A function whose signatures all carry one SQL name takes it as its sqlfn,
+        # in place of the family member its wrapper's tag names.
+        idl, ndep = state_deployed_sqlfn(idl)
+        print(f"      sqlfn set to the one name its signatures carry: {ndep}", file=sys.stderr)
         # The same map names each position operator once per class (setLeft …
         # stboxLeft): derive those names from its @sqlfn/@sqlop tags.
         idl = attach_position_names(idl)
diff --git a/tests/test_sqlfn_deployed.py b/tests/test_sqlfn_deployed.py
new file mode 100644
index 0000000..a9aee34
--- /dev/null
+++ b/tests/test_sqlfn_deployed.py
@@ -0,0 +1,96 @@
+"""A function's `sqlfn` is the one SQL name its signatures carry.
+
+A wrapper's @sqlfn names one member of the family it serves, so a per-type function
+read through it (`floatset_in` under `Set_in`, tagged `intset_in()`) would carry a
+family member's name. #state_deployed_sqlfn states the name the function's own
+CREATE FUNCTION deploys, as #attach_sqlfn_map stamps it on each signature, and keeps
+the tag where the signatures carry several names or the record is a backing tag
+#classify_backing_sqlfn marks.
+
+Plain unittest, no pytest dependency; synthetic records, then the generated catalog.
+"""
+import json
+import unittest
+from pathlib import Path
+
+from parser.sqlfn import state_deployed_sqlfn
+
+IDL = Path(__file__).resolve().parents[1] / "output" / "meos-idl.json"
+
+
+def _state(*functions):
+    idl, n = state_deployed_sqlfn({"functions": list(functions)})
+    return {f["name"]: f for f in idl["functions"]}, n
+
+
+class DeployedNameTests(unittest.TestCase):
+
+    def test_the_one_name_the_signatures_carry_is_the_sqlfn(self):
+        fns, n = _state({"name": "floatset_in", "sqlfn": "intset_in",
+                         "sqlSignatures": [{"args": ["cstring"], "ret": "floatset",
+                                            "sqlName": "floatset_in"}]})
+        self.assertEqual(fns["floatset_in"]["sqlfn"], "floatset_in")
+        self.assertEqual(fns["floatset_in"]["sqlSignatures"],
+                         [{"args": ["cstring"], "ret": "floatset"}])
+        self.assertEqual(n, 1)
+
+    def test_signatures_carrying_several_names_keep_the_tag(self):
+        sigs = [{"args": ["tgeompoint", "geometry", "float"], "ret": "boolean",
+                 "sqlName": "eDwithin"},
+                {"args": ["tgeompoint", "geometry", "float"], "ret": "boolean",
+                 "sqlName": "aDwithin"}]
+        fns, n = _state({"name": "ea_dwithin_tgeo_geo", "sqlfn": "eDwithin",
+                         "sqlSignatures": [dict(s) for s in sigs]})
+        self.assertEqual(fns["ea_dwithin_tgeo_geo"]["sqlfn"], "eDwithin")
+        self.assertEqual(fns["ea_dwithin_tgeo_geo"]["sqlSignatures"], sigs)
+        self.assertEqual(n, 0)
+
+    def test_a_backing_tag_stays_beside_its_public_name(self):
+        fns, n = _state({"name": "adjacent_tbox_tnumber", "sqlfn": "adjacent_bbox",
+                         "sqlfnBackingOnly": True, "publicSqlName": "adjacent",
+                         "sqlSignatures": [{"args": ["tbox", "tint"], "ret": "boolean",
+                                            "sqlName": "adjacent"}]})
+        self.assertEqual(fns["adjacent_tbox_tnumber"]["sqlfn"], "adjacent_bbox")
+        self.assertEqual(fns["adjacent_tbox_tnumber"]["sqlSignatures"][0]["sqlName"],
+                         "adjacent")
+        self.assertEqual(n, 0)
+
+    def test_a_function_without_signatures_keeps_its_tag(self):
+        fns, n = _state({"name": "temporal_in", "sqlfn": "tint_in"})
+        self.assertEqual(fns["temporal_in"]["sqlfn"], "tint_in")
+        self.assertEqual(n, 0)
+
+
+class DeployedNameCatalogTests(unittest.TestCase):
+    """Over the generated catalog, the per-type functions carry their own SQL name and
+    no signature restates the function's sqlfn."""
+
+    def setUp(self):
+        if not IDL.exists():
+            self.skipTest(f"{IDL} not generated; run `python run.py` first")
+        self.fns = {f["name"]: f for f in json.loads(IDL.read_text())["functions"]}
+
+    def test_per_type_functions_carry_their_own_name(self):
+        for name, sqlfn in (("floatset_in", "floatset_in"), ("tfloat_in", "tfloat_in"),
+                            ("tfloatinst_make", "tfloat"), ("tfloat_values", "valueSet"),
+                            ("contains_cbuffer_cbuffer", "cbuffer_contains")):
+            self.assertEqual(self.fns[name]["sqlfn"], sqlfn, name)
+
+    def test_backing_tags_keep_their_family_name(self):
+        f = self.fns["adjacent_tbox_tnumber"]
+        self.assertEqual((f["sqlfn"], f["publicSqlName"]), ("adjacent_bbox", "adjacent"))
+
+    def test_no_function_names_a_family_member_its_signatures_do_not(self):
+        """The condition #state_deployed_sqlfn of parser/sqlfn.py reads, asked of the
+        whole catalog: signatures all carrying one name other than sqlfn, a backing
+        tag aside."""
+        other = [f["name"] for f in self.fns.values()
+                 if f.get("sqlSignatures") and not f.get("sqlfnBackingOnly")
+                 and len(names := {s.get("sqlName", f["sqlfn"])
+                                   for s in f["sqlSignatures"]}) == 1
+                 and names != {f["sqlfn"]}]
+        self.assertEqual(other, [])
+
+
+if __name__ == "__main__":
+    unittest.main()