diff --git a/src/db.rs b/src/db.rs
index e9cc700..5a9b61d 100644
--- a/src/db.rs
+++ b/src/db.rs
@@ -8643,6 +8643,23 @@ fn do_rebuild_from_text(
         ))
         .map_err(DbError::from_rusqlite)?;
 
+        // 0b. The table-level CHECK metadata is the source of truth that
+        //     the engine cannot report (ADR-0035 §4a.3), so — like
+        //     META/REL — it is wiped and repopulated from the YAML
+        //     snapshot here (step 3b). Without this a fresh rebuild
+        //     (missing `.db`) would enforce the CHECK via the recreated
+        //     DDL but leave `CHECK_TABLE` empty, so `describe` / `DROP
+        //     CONSTRAINT` / a later save would lose it. The rebuild also
+        //     **migrates** a pre-§4g table that predates the `name`
+        //     column (the rebuild-only migration, ADR-0035 §4g): add it
+        //     if absent before repopulating with names.
+        if !check_table_has_name_column(&tx)? {
+            tx.execute_batch(&format!("ALTER TABLE {CHECK_TABLE} ADD COLUMN name TEXT;"))
+                .map_err(DbError::from_rusqlite)?;
+        }
+        tx.execute_batch(&format!("DELETE FROM {CHECK_TABLE};"))
+            .map_err(DbError::from_rusqlite)?;
+
         // 1. Recreate user tables with FK constraints inline.
         for table in &snapshot.tables {
             let read_schema = build_read_schema(table, &snapshot.relationships);
@@ -8694,6 +8711,29 @@ fn do_rebuild_from_text(
             }
         }
 
+        // 3b. Table-level CHECK metadata (ADR-0035 §4a.3 / §4g) — in
+        //     declaration order (`seq`), carrying the optional name so a
+        //     named CHECK round-trips through the rebuild.
+        {
+            let mut stmt = tx
+                .prepare(&format!(
+                    "INSERT INTO {CHECK_TABLE} (table_name, seq, check_expr, name) \
+                     VALUES (?1, ?2, ?3, ?4);"
+                ))
+                .map_err(DbError::from_rusqlite)?;
+            for table in &snapshot.tables {
+                for (seq, check) in table.check_constraints.iter().enumerate() {
+                    stmt.execute(rusqlite::params![
+                        table.name,
+                        seq as i64,
+                        check.expr,
+                        check.name,
+                    ])
+                    .map_err(DbError::from_rusqlite)?;
+                }
+            }
+        }
+
         // 4. Project metadata: overwrite the configure-time
         //    `created_at` with the YAML's authoritative value.
         tx.execute(
diff --git a/tests/sql_alter_table.rs b/tests/sql_alter_table.rs
index 9f7b2c5..3db690b 100644
--- a/tests/sql_alter_table.rs
+++ b/tests/sql_alter_table.rs
@@ -596,3 +596,59 @@ fn e2e_add_constraint_is_one_undo_step() {
     // After undo the CHECK is gone: qty = -1 is accepted.
     assert!(insert_t_qty_ok(&db, &r, 3, -1), "one undo removed the CHECK");
 }
+
+#[test]
+fn e2e_named_check_metadata_survives_a_fresh_rebuild() {
+    // A FRESH rebuild (deleted .db, reconstructed from project.yaml) must
+    // repopulate the table-CHECK metadata — not just re-emit the CHECK
+    // into the recreated DDL. Otherwise the CHECK is enforced but its
+    // metadata (incl. the name) is lost: `describe` / `DROP CONSTRAINT` /
+    // a later save would drop it (ADR-0035 §4g; fixes a latent 4a.3 gap).
+    use rdbms_playground::dsl::ColumnSpec;
+    use rdbms_playground::project::PLAYGROUND_DB;
+    let dir = tempfile::tempdir().expect("tempdir");
+    let r = rt();
+    let project_path = {
+        let project = project::open_or_create(None, Some(dir.path())).expect("open");
+        let path = project.path().to_path_buf();
+        let db = Database::open_with_persistence(project.db_path(), Persistence::new(path.clone()))
+            .expect("db");
+        r.block_on(db.sql_create_table(
+            "T".to_string(),
+            vec![ColumnSpec::new("id", Type::Int), ColumnSpec::new("qty", Type::Int)],
+            vec!["id".to_string()],
+            vec![],
+            vec![],
+            vec![],
+            false,
+            Some("create table T (id int primary key, qty int)".to_string()),
+        ))
+        .expect("create");
+        r.block_on(db.alter_add_table_check(
+            "T".to_string(),
+            Some("qty_positive".to_string()),
+            "qty >= 0".to_string(),
+            Some("alter table T add constraint qty_positive check (qty >= 0)".to_string()),
+        ))
+        .expect("add named check");
+        drop(db);
+        path
+    };
+    // Delete the .db → the next open + rebuild reconstructs from yaml.
+    std::fs::remove_file(project_path.join(PLAYGROUND_DB)).unwrap();
+    let project = project::Project::open(&project_path).unwrap();
+    let db = Database::open_with_persistence(
+        project.db_path(),
+        Persistence::new(project.path().to_path_buf()),
+    )
+    .unwrap();
+    r.block_on(db.rebuild_from_text(project.path().to_path_buf(), None)).expect("rebuild");
+
+    // The named CHECK metadata survived: DROP CONSTRAINT by name resolves.
+    r.block_on(db.alter_drop_constraint(
+        "T".to_string(),
+        "qty_positive".to_string(),
+        Some("drop".to_string()),
+    ))
+    .expect("DROP CONSTRAINT after a fresh rebuild — the CHECK metadata was reconstructed");
+}