diff --git a/compiler/fir/java/src/org/jetbrains/kotlin/fir/java/scopes/JavaOverrideChecker.kt b/compiler/fir/java/src/org/jetbrains/kotlin/fir/java/scopes/JavaOverrideChecker.kt
index 15f18873378..2f34402d08a 100644
--- a/compiler/fir/java/src/org/jetbrains/kotlin/fir/java/scopes/JavaOverrideChecker.kt
+++ b/compiler/fir/java/src/org/jetbrains/kotlin/fir/java/scopes/JavaOverrideChecker.kt
@@ -28,16 +28,23 @@ class JavaOverrideChecker internal constructor(
     private fun isEqualTypes(candidateType: ConeKotlinType, baseType: ConeKotlinType, substitutor: ConeSubstitutor): Boolean {
         if (candidateType is ConeFlexibleType) return isEqualTypes(candidateType.lowerBound, baseType, substitutor)
         if (baseType is ConeFlexibleType) return isEqualTypes(candidateType, baseType.lowerBound, substitutor)
-        return if (candidateType is ConeClassLikeType && baseType is ConeClassLikeType) {
-            candidateType.lookupTag.classId.let { it.readOnlyToMutable() ?: it } == baseType.lookupTag.classId.let { it.readOnlyToMutable() ?: it }
-        } else {
-            with(context) {
-                isEqualTypeConstructors(
-                    substitutor.substituteOrSelf(candidateType).typeConstructor(),
-                    substitutor.substituteOrSelf(baseType).typeConstructor()
-                )
+        if (candidateType is ConeClassLikeType && baseType is ConeClassLikeType) {
+            return candidateType.lookupTag.classId.let { it.readOnlyToMutable() ?: it } == baseType.lookupTag.classId.let { it.readOnlyToMutable() ?: it }
+        }
+        if (candidateType is ConeClassLikeType && baseType is ConeTypeParameterType) {
+            val boundType = baseType.lookupTag.typeParameterSymbol.fir.bounds.singleOrNull()?.toNotNullConeKotlinType(
+                session, javaTypeParameterStack
+            )
+            if (boundType != null) {
+                return isEqualTypes(candidateType, boundType, substitutor)
             }
         }
+        return with(context) {
+            isEqualTypeConstructors(
+                substitutor.substituteOrSelf(candidateType).typeConstructor(),
+                substitutor.substituteOrSelf(baseType).typeConstructor()
+            )
+        }
     }
 
     override fun isEqualTypes(candidateTypeRef: FirTypeRef, baseTypeRef: FirTypeRef, substitutor: ConeSubstitutor) =
diff --git a/compiler/fir/resolve/testData/resolve/stdlib/j+k/MyMap.txt b/compiler/fir/resolve/testData/resolve/stdlib/j+k/MyMap.txt
index e6008bb7b71..bde692821a1 100644
--- a/compiler/fir/resolve/testData/resolve/stdlib/j+k/MyMap.txt
+++ b/compiler/fir/resolve/testData/resolve/stdlib/j+k/MyMap.txt
@@ -4,7 +4,7 @@ FILE: test.kt
             ^ String(value)
         }
         )
-        lval otherResult: R|ft<kotlin/String, kotlin/String?>!| = R|<local>/map|.R|FakeOverride<kotlin/collections/Map.getOrDefault: R|ft<kotlin/String, kotlin/String?>!|>|(String(key), String(value))
+        lval otherResult: R|ft<kotlin/String, kotlin/String?>!| = R|<local>/map|.R|FakeOverride<java/util/Map.getOrDefault: R|ft<kotlin/String, kotlin/String?>!|>|(String(key), String(value))
         lval anotherResult: R|kotlin/String?| = R|<local>/map|.R|FakeOverride<java/util/Map.replace: R|kotlin/String?|>|(String(key), String(value))
         R|<local>/map|.R|FakeOverride<java/util/Map.forEach: R|kotlin/Unit|>|(<L> = forEach@fun <anonymous>(key: R|ft<kotlin/String, kotlin/String?>!|, value: R|ft<kotlin/String, kotlin/String?>!|): R|kotlin/Unit| {
             R|kotlin/io/println|(<strcat>(R|<local>/key|.R|kotlin/Any.toString|(), String(: ), R|<local>/value|.R|kotlin/Any.toString|()))
diff --git a/compiler/fir/resolve/testData/resolve/stdlib/problems/weakHashMap.kt b/compiler/fir/resolve/testData/resolve/stdlib/problems/weakHashMap.kt
index 0c028cadf13..ffca85a60ce 100644
--- a/compiler/fir/resolve/testData/resolve/stdlib/problems/weakHashMap.kt
+++ b/compiler/fir/resolve/testData/resolve/stdlib/problems/weakHashMap.kt
@@ -5,6 +5,6 @@ import java.util.*
 val someMap = WeakHashMap<Any?, Any?>()
 
 fun foo() {
-    <!AMBIGUITY!>someMap[""]<!>
+    someMap[""]
 }
 
diff --git a/compiler/fir/resolve/testData/resolve/stdlib/problems/weakHashMap.txt b/compiler/fir/resolve/testData/resolve/stdlib/problems/weakHashMap.txt
index a1f45ce9e1e..2126aea0844 100644
--- a/compiler/fir/resolve/testData/resolve/stdlib/problems/weakHashMap.txt
+++ b/compiler/fir/resolve/testData/resolve/stdlib/problems/weakHashMap.txt
@@ -2,5 +2,5 @@ FILE: weakHashMap.kt
     public final val someMap: R|java/util/WeakHashMap<kotlin/Any?, kotlin/Any?>| = R|java/util/WeakHashMap.WeakHashMap|<R|kotlin/Any?|, R|kotlin/Any?|>()
         public get(): R|java/util/WeakHashMap<kotlin/Any?, kotlin/Any?>|
     public final fun foo(): R|kotlin/Unit| {
-        R|/someMap|.<Ambiguity: get, [java/util/WeakHashMap.get, kotlin/collections/Map.get]>#(String())
+        R|/someMap|.R|FakeOverride<java/util/WeakHashMap.get: R|kotlin/Any?|>|(String())
     }
diff --git a/compiler/fir/resolve/testData/resolve/stdlib/removeOnAbstractMap.txt b/compiler/fir/resolve/testData/resolve/stdlib/removeOnAbstractMap.txt
index 943b6c1626e..e24e4aabaeb 100644
--- a/compiler/fir/resolve/testData/resolve/stdlib/removeOnAbstractMap.txt
+++ b/compiler/fir/resolve/testData/resolve/stdlib/removeOnAbstractMap.txt
@@ -1,5 +1,5 @@
 FILE: removeOnAbstractMap.kt
     public final fun test(map: R|java/util/AbstractMap<kotlin/String, kotlin/Int>|): R|kotlin/Unit| {
         R|<local>/map|.R|FakeOverride<kotlin/collections/MutableMap.remove: R|kotlin/Boolean|>|(String(), Null(null))
-        R|<local>/map|.R|FakeOverride<kotlin/collections/MutableMap.remove: R|kotlin/Int?|>|(Null(null))
+        R|<local>/map|.R|FakeOverride<java/util/AbstractMap.remove: R|kotlin/Int?|>|(Null(null))
     }
diff --git a/compiler/testData/codegen/box/when/whenArgumentIsEvaluatedOnlyOnce.kt b/compiler/testData/codegen/box/when/whenArgumentIsEvaluatedOnlyOnce.kt
index 31866812756..665d10d7d3a 100644
--- a/compiler/testData/codegen/box/when/whenArgumentIsEvaluatedOnlyOnce.kt
+++ b/compiler/testData/codegen/box/when/whenArgumentIsEvaluatedOnlyOnce.kt
@@ -1,4 +1,3 @@
-// IGNORE_BACKEND_FIR: JVM_IR
 // KJS_WITH_FULL_RUNTIME
 var x = 0
 fun inc(): Int {
diff --git a/compiler/testData/diagnostics/tests/j+k/collectionOverrides/removeAtInt.fir.kt b/compiler/testData/diagnostics/tests/j+k/collectionOverrides/removeAtInt.fir.kt
index ff15421906f..90ecc2b0a35 100644
--- a/compiler/testData/diagnostics/tests/j+k/collectionOverrides/removeAtInt.fir.kt
+++ b/compiler/testData/diagnostics/tests/j+k/collectionOverrides/removeAtInt.fir.kt
@@ -18,6 +18,6 @@ fun main(a: A, b: B, c: ArrayList<Int>) {
     a.removeAt(0)
     b.remove(1)
     b.removeAt(0)
-    c.<!AMBIGUITY!>remove<!>(1)
+    c.remove(1)
     c.removeAt(0)
 }
diff --git a/compiler/testData/diagnostics/tests/regressions/DoubleDefine.fir.kt b/compiler/testData/diagnostics/tests/regressions/DoubleDefine.fir.kt
index 8e63f0f3c10..222207164de 100644
--- a/compiler/testData/diagnostics/tests/regressions/DoubleDefine.fir.kt
+++ b/compiler/testData/diagnostics/tests/regressions/DoubleDefine.fir.kt
@@ -14,7 +14,7 @@ fun evaluateArg(expr: CharSequence, numbers: ArrayList<Int>): Int {
   if (c >= '0' && c <= '9') {
     val n = c <!UNRESOLVED_REFERENCE!>-<!> '0'
     if (!numbers.contains(n)) throw Exception("You used incorrect number: " + n)
-    numbers.<!AMBIGUITY!>remove<!>(n)
+    numbers.remove(n)
     return n
   }
   throw Exception("Syntax error: Unrecognized character " + c)
diff --git a/compiler/testData/diagnostics/testsWithStdLib/inference/annotationsForResolve/onlyInputTypesAndTopLevelCapturedTypes.fir.kt b/compiler/testData/diagnostics/testsWithStdLib/inference/annotationsForResolve/onlyInputTypesAndTopLevelCapturedTypes.fir.kt
index 0d977f24be4..d421514ddbb 100644
--- a/compiler/testData/diagnostics/testsWithStdLib/inference/annotationsForResolve/onlyInputTypesAndTopLevelCapturedTypes.fir.kt
+++ b/compiler/testData/diagnostics/testsWithStdLib/inference/annotationsForResolve/onlyInputTypesAndTopLevelCapturedTypes.fir.kt
@@ -39,9 +39,9 @@ fun test2(value: Any?) {
 
 // From KT-32116
 fun test3(h: HashMap<*, *>) {
-    val a = <!AMBIGUITY!>h["str"]<!>
-    val b = <!AMBIGUITY!>h[1]<!>
-    val c = <!AMBIGUITY!>h["other"]<!> as? Double
+    val a = h["str"]
+    val b = h[1]
+    val c = h["other"] as? Double
 }
 
 // From KT-32218