diff --git a/milli/src/index.rs b/milli/src/index.rs
index 8a17cebf4..32ffe45cf 100644
--- a/milli/src/index.rs
+++ b/milli/src/index.rs
@@ -348,10 +348,10 @@ impl Index {
     /* external documents ids */
 
     /// Writes the external documents ids and internal ids (i.e. `u32`).
-    pub(crate) fn put_external_documents_ids<'a>(
+    pub(crate) fn put_external_documents_ids(
         &self,
         wtxn: &mut RwTxn,
-        external_documents_ids: &ExternalDocumentsIds<'a>,
+        external_documents_ids: &ExternalDocumentsIds<'_>,
     ) -> heed::Result<()> {
         let ExternalDocumentsIds { hard, soft, .. } = external_documents_ids;
         let hard = hard.as_fst().as_bytes();
@@ -426,7 +426,7 @@ impl Index {
     }
 
     /// Returns the `rtree` which associates coordinates to documents ids.
-    pub fn geo_rtree<'t>(&self, rtxn: &'t RoTxn) -> Result<Option<RTree<GeoPoint>>> {
+    pub fn geo_rtree(&self, rtxn: &RoTxn) -> Result<Option<RTree<GeoPoint>>> {
         match self
             .main
             .get::<_, Str, SerdeBincode<RTree<GeoPoint>>>(rtxn, main_key::GEO_RTREE_KEY)?
diff --git a/milli/src/search/criteria/proximity.rs b/milli/src/search/criteria/proximity.rs
index 66e5c95bf..182f9fbea 100644
--- a/milli/src/search/criteria/proximity.rs
+++ b/milli/src/search/criteria/proximity.rs
@@ -182,15 +182,15 @@ impl<'t> Criterion for Proximity<'t> {
     }
 }
 
-fn resolve_candidates<'t>(
-    ctx: &'t dyn Context,
+fn resolve_candidates(
+    ctx: &dyn Context,
     query_tree: &Operation,
     proximity: u8,
     cache: &mut Cache,
     wdcache: &mut WordDerivationsCache,
 ) -> Result<RoaringBitmap> {
-    fn resolve_operation<'t>(
-        ctx: &'t dyn Context,
+    fn resolve_operation(
+        ctx: &dyn Context,
         query_tree: &Operation,
         proximity: u8,
         cache: &mut Cache,
@@ -243,8 +243,8 @@ fn resolve_candidates<'t>(
         Ok(result)
     }
 
-    fn mdfs_pair<'t>(
-        ctx: &'t dyn Context,
+    fn mdfs_pair(
+        ctx: &dyn Context,
         left: &Operation,
         right: &Operation,
         proximity: u8,
@@ -298,8 +298,8 @@ fn resolve_candidates<'t>(
         Ok(output)
     }
 
-    fn mdfs<'t>(
-        ctx: &'t dyn Context,
+    fn mdfs(
+        ctx: &dyn Context,
         branches: &[Operation],
         proximity: u8,
         cache: &mut Cache,
diff --git a/milli/src/search/criteria/typo.rs b/milli/src/search/criteria/typo.rs
index 20bc718fd..ff2567304 100644
--- a/milli/src/search/criteria/typo.rs
+++ b/milli/src/search/criteria/typo.rs
@@ -239,15 +239,15 @@ fn alterate_query_tree(
     Ok(query_tree)
 }
 
-fn resolve_candidates<'t>(
-    ctx: &'t dyn Context,
+fn resolve_candidates(
+    ctx: &dyn Context,
     query_tree: &Operation,
     number_typos: u8,
     cache: &mut HashMap<(Operation, u8), RoaringBitmap>,
     wdcache: &mut WordDerivationsCache,
 ) -> Result<RoaringBitmap> {
-    fn resolve_operation<'t>(
-        ctx: &'t dyn Context,
+    fn resolve_operation(
+        ctx: &dyn Context,
         query_tree: &Operation,
         number_typos: u8,
         cache: &mut HashMap<(Operation, u8), RoaringBitmap>,
@@ -276,8 +276,8 @@ fn resolve_candidates<'t>(
         }
     }
 
-    fn mdfs<'t>(
-        ctx: &'t dyn Context,
+    fn mdfs(
+        ctx: &dyn Context,
         branches: &[Operation],
         mana: u8,
         cache: &mut HashMap<(Operation, u8), RoaringBitmap>,
diff --git a/milli/src/update/delete_documents.rs b/milli/src/update/delete_documents.rs
index 635ce85be..90118af18 100644
--- a/milli/src/update/delete_documents.rs
+++ b/milli/src/update/delete_documents.rs
@@ -574,9 +574,9 @@ fn remove_from_word_docids(
     Ok(())
 }
 
-fn remove_docids_from_field_id_docid_facet_value<'i, 'a>(
-    index: &'i Index,
-    wtxn: &'a mut heed::RwTxn,
+fn remove_docids_from_field_id_docid_facet_value(
+    index: &Index,
+    wtxn: &mut heed::RwTxn,
     facet_type: FacetType,
     field_id: FieldId,
     to_remove: &RoaringBitmap,
diff --git a/milli/src/update/facet/incremental.rs b/milli/src/update/facet/incremental.rs
index cffce5525..a5840dc6e 100644
--- a/milli/src/update/facet/incremental.rs
+++ b/milli/src/update/facet/incremental.rs
@@ -157,9 +157,9 @@ impl FacetsUpdateIncrementalInner {
     ///
     /// ## Return
     /// See documentation of `insert_in_level`
-    fn insert_in_level_0<'t>(
+    fn insert_in_level_0(
         &self,
-        txn: &'t mut RwTxn,
+        txn: &mut RwTxn,
         field_id: u16,
         facet_value: &[u8],
         docids: &RoaringBitmap,
@@ -211,9 +211,9 @@ impl FacetsUpdateIncrementalInner {
     /// - `InsertionResult::Insert` means that inserting the `facet_value` into the `level` resulted
     /// in the addition of a new key in that level, and that therefore the number of children
     /// of the parent node should be incremented.
-    fn insert_in_level<'t>(
+    fn insert_in_level(
         &self,
-        txn: &'t mut RwTxn,
+        txn: &mut RwTxn,
         field_id: u16,
         level: u8,
         facet_value: &[u8],
@@ -348,9 +348,9 @@ impl FacetsUpdateIncrementalInner {
     }
 
     /// Insert the given facet value and corresponding document ids in the database.
-    pub fn insert<'t>(
+    pub fn insert(
         &self,
-        txn: &'t mut RwTxn,
+        txn: &mut RwTxn,
         field_id: u16,
         facet_value: &[u8],
         docids: &RoaringBitmap,
@@ -470,9 +470,9 @@ impl FacetsUpdateIncrementalInner {
     /// in level 1, the key with the left bound `3` had to be changed to the next facet value (e.g. 4).
     /// In that case `DeletionResult::Reduce` is returned. The parent of the reduced key may need to adjust
     /// its left bound as well.
-    fn delete_in_level<'t>(
+    fn delete_in_level(
         &self,
-        txn: &'t mut RwTxn,
+        txn: &mut RwTxn,
         field_id: u16,
         level: u8,
         facet_value: &[u8],
@@ -529,9 +529,9 @@ impl FacetsUpdateIncrementalInner {
         }
     }
 
-    fn delete_in_level_0<'t>(
+    fn delete_in_level_0(
         &self,
-        txn: &'t mut RwTxn,
+        txn: &mut RwTxn,
         field_id: u16,
         facet_value: &[u8],
         docids: &RoaringBitmap,
@@ -557,9 +557,9 @@ impl FacetsUpdateIncrementalInner {
         }
     }
 
-    pub fn delete<'t>(
+    pub fn delete(
         &self,
-        txn: &'t mut RwTxn,
+        txn: &mut RwTxn,
         field_id: u16,
         facet_value: &[u8],
         docids: &RoaringBitmap,