diff --git a/src/controller_examples/v_replica_set_controller/proof/helper_invariants/proof.rs b/src/controller_examples/v_replica_set_controller/proof/helper_invariants/proof.rs
index e47af160..239f1c13 100644
--- a/src/controller_examples/v_replica_set_controller/proof/helper_invariants/proof.rs
+++ b/src/controller_examples/v_replica_set_controller/proof/helper_invariants/proof.rs
@@ -15,7 +15,7 @@ use crate::kubernetes_cluster::spec::{
 use crate::temporal_logic::{defs::*, rules::*};
 use crate::vstd_ext::{multiset_lib, seq_lib, string_view::*};
 use crate::v_replica_set_controller::{
-    proof::{predicate::*},
+    proof::{utility_lemmas::*, predicate::*},
     trusted::{liveness_theorem::*, spec_types::*, step::*},
     model::reconciler::{objects_to_pods, filter_pods},
 };
@@ -255,12 +255,20 @@ pub proof fn lemma_eventually_always_every_delete_matching_pod_request_implies_a
                     let new_diff = local_step_prime.get_AfterDeletePod_0();
 
                     if local_step.is_AfterListPods() {
-                        // TODO: Prove this case later
-                        assume(false);
-                        // The proof is true in this case since AfterListPods
-                        // will issue a delete on an element that has been filtered
-                        // out using filter_pods
-                        // use something like the lemma lemma_filtered_pods_set_equals_matching_pods.
+                        let cr_msg = step.get_ControllerStep_0().0.get_Some_0();
+                        let objs = cr_msg.content.get_list_response().res.unwrap();
+                        let triggering_cr = s.ongoing_reconciles()[cr_key].triggering_cr;
+                        let desired_replicas: usize = triggering_cr.spec.replicas.unwrap_or(0) as usize;
+                        let pods_or_none = objects_to_pods(objs);
+                        let pods = pods_or_none.unwrap();
+                        let filtered_pods = filter_pods(pods, triggering_cr);
+                        let diff = filtered_pods.len() - desired_replicas;
+                        lemma_filtered_pods_set_equals_matching_pods(s, triggering_cr, cr_msg);
+
+                        let filtered_pods_as_objects = filtered_pods.map_values(|p: PodView| p.marshal());
+                        let filtered_pods_as_set = filtered_pods_as_objects.to_set();
+                        assert(filtered_pods_as_objects[diff - 1] == filtered_pods[diff - 1].marshal());
+                        assert(filtered_pods_as_set.contains(filtered_pods[diff - 1].marshal()));
                     }
 
                     let controller_owners = obj.metadata.owner_references.unwrap().filter(
diff --git a/src/controller_examples/v_replica_set_controller/proof/liveness/resource_match.rs b/src/controller_examples/v_replica_set_controller/proof/liveness/resource_match.rs
index b369e4ed..4c55f84e 100644
--- a/src/controller_examples/v_replica_set_controller/proof/liveness/resource_match.rs
+++ b/src/controller_examples/v_replica_set_controller/proof/liveness/resource_match.rs
@@ -16,7 +16,7 @@ use crate::kubernetes_cluster::spec::{
 use crate::temporal_logic::{defs::*, rules::*};
 use crate::v_replica_set_controller::{
     model::reconciler::*,
-    proof::{helper_invariants, liveness::api_actions::*, predicate::*},
+    proof::{utility_lemmas::*, helper_invariants, liveness::api_actions::*, predicate::*},
     trusted::{liveness_theorem::*, spec_types::*, step::*},
 };
 use crate::vstd_ext::{map_lib::*, seq_lib::*, set_lib::*, string_view::*};
diff --git a/src/controller_examples/v_replica_set_controller/proof/mod.rs b/src/controller_examples/v_replica_set_controller/proof/mod.rs
index 7a14a3b6..31f556c4 100644
--- a/src/controller_examples/v_replica_set_controller/proof/mod.rs
+++ b/src/controller_examples/v_replica_set_controller/proof/mod.rs
@@ -3,3 +3,4 @@
 pub mod helper_invariants;
 pub mod liveness;
 pub mod predicate;
+pub mod utility_lemmas;
diff --git a/src/controller_examples/v_replica_set_controller/proof/utility_lemmas.rs b/src/controller_examples/v_replica_set_controller/proof/utility_lemmas.rs
new file mode 100644
index 00000000..c8bbb6e7
--- /dev/null
+++ b/src/controller_examples/v_replica_set_controller/proof/utility_lemmas.rs
@@ -0,0 +1,52 @@
+// Copyright 2022 VMware, Inc.
+// SPDX-License-Identifier: MIT
+#![allow(unused_imports)]
+use crate::kubernetes_api_objects::spec::{
+    api_method::*, common::*, prelude::*, resource::*, stateful_set::*,
+};
+use crate::kubernetes_cluster::proof::controller_runtime::*;
+use crate::kubernetes_cluster::spec::{
+    cluster::*,
+    cluster_state_machine::Step,
+    controller::types::{ControllerActionInput, ControllerStep},
+    message::*,
+};
+use crate::temporal_logic::defs::*;
+use crate::v_replica_set_controller::model::{reconciler::*};
+use crate::v_replica_set_controller::trusted::{
+    liveness_theorem::*, spec_types::*, step::*,
+};
+use crate::v_replica_set_controller::proof::{
+    predicate::*,
+};
+use vstd::{prelude::*, math::abs};
+
+verus! {
+
+#[verifier(external_body)]
+pub proof fn lemma_filtered_pods_set_equals_matching_pods(
+    s: VRSCluster, vrs: VReplicaSetView, resp_msg: VRSMessage
+)
+    ensures
+        ({
+            let objs = resp_msg.content.get_list_response().res.unwrap();
+            let pods_or_none = objects_to_pods(objs);
+            let pods = pods_or_none.unwrap();
+            let filtered_pods = filter_pods(pods, vrs);
+            &&& filtered_pods.no_duplicates()
+            &&& filtered_pods.len() == matching_pod_entries(vrs, s.resources()).len()
+            &&& filtered_pods.map_values(|p: PodView| p.marshal()).to_set() == matching_pod_entries(vrs, s.resources()).values()
+        }),
+{}
+//
+// TODO: Prove this.
+//
+// filter_pods filters pods in a very similar way to matching_pods, but the former
+// works on a sequence of PodViews, while the latter works on the key-value store directly.
+// I need to do some manual effort to make the two representations work together.
+//
+// Once proven, this will supplant the earlier lemma
+// lemma_filtered_pods_len_equals_matching_pods_len.
+//
+
+}