diff --git a/packages/svelte/messages/client-warnings/warnings.md b/packages/svelte/messages/client-warnings/warnings.md
index 7a5a495251..695776dd60 100644
--- a/packages/svelte/messages/client-warnings/warnings.md
+++ b/packages/svelte/messages/client-warnings/warnings.md
@@ -40,4 +40,24 @@
 
 ## state_proxy_equality_mismatch
 
-> Reactive `$state(...)` proxies and the values they proxy have different identities. Because of this, comparisons with `%operator%` will produce unexpected results. Consider using `$state.is(a, b)` instead
+> Reactive `$state(...)` proxies and the values they proxy have different identities. Because of this, comparisons with `%operator%` will produce unexpected results. Consider using `$state.is(a, b)` instead%details%
+
+`$state(...)` does create a proxy of the value it is passed. Therefore, the resulting object has a different identity and equality checks will always return `false`:
+
+```svelte
+<script>
+    let object = { foo: 'bar' };
+    let state_object = $state(object);
+    object === state_object; // always false
+</script>
+```
+
+Most of the time this will not be a problem in practise because it is very rare to keep the original value around to later compare it against a state value. In case it happens, Svelte will warn you about it in development mode and suggest to use `$state.is` instead, which is able to unwrap the proxy and compare the original values:
+
+```svelte
+<script>
+    let object = { foo: 'bar' };
+    let state_object = $state(object);
+    $state.is(object, state_object); // true
+</script>
+```
diff --git a/packages/svelte/scripts/process-messages/index.js b/packages/svelte/scripts/process-messages/index.js
index 5eea56fa04..8ee58cad9d 100644
--- a/packages/svelte/scripts/process-messages/index.js
+++ b/packages/svelte/scripts/process-messages/index.js
@@ -33,7 +33,7 @@ for (const category of fs.readdirSync('messages')) {
 
 			const sections = text.trim().split('\n\n');
 			let details = null;
-			if (!sections[sections.length - 1].startsWith('> ')) {
+			while (!sections[sections.length - 1].startsWith('> ')) {
 				details = /** @type {string} */ (sections.pop());
 			}
 
diff --git a/packages/svelte/src/internal/client/dev/equality.js b/packages/svelte/src/internal/client/dev/equality.js
index c1c392ba87..67fc039da1 100644
--- a/packages/svelte/src/internal/client/dev/equality.js
+++ b/packages/svelte/src/internal/client/dev/equality.js
@@ -20,7 +20,10 @@ export function init_array_prototype_warnings() {
 			const test = indexOf.call(get_proxied_value(this), get_proxied_value(item), from_index);
 
 			if (test !== -1) {
-				w.state_proxy_equality_mismatch('array.indexOf(...)');
+				w.state_proxy_equality_mismatch(
+					'array.indexOf(...)',
+					': `array.findIndex(entry => $state.is(entry, item))`'
+				);
 			}
 		}
 
@@ -42,7 +45,10 @@ export function init_array_prototype_warnings() {
 			);
 
 			if (test !== -1) {
-				w.state_proxy_equality_mismatch('array.lastIndexOf(...)');
+				w.state_proxy_equality_mismatch(
+					'array.lastIndexOf(...)',
+					': `array.findLastIndex(entry => $state.is(entry, item))`'
+				);
 			}
 		}
 
@@ -56,7 +62,10 @@ export function init_array_prototype_warnings() {
 			const test = includes.call(get_proxied_value(this), get_proxied_value(item), from_index);
 
 			if (test) {
-				w.state_proxy_equality_mismatch('array.includes(...)');
+				w.state_proxy_equality_mismatch(
+					'array.includes(...)',
+					': `array.some(entry => $state.is(entry, item))`'
+				);
 			}
 		}
 
@@ -79,7 +88,7 @@ export function init_array_prototype_warnings() {
  */
 export function strict_equals(a, b, equal = true) {
 	if ((a === b) !== (get_proxied_value(a) === get_proxied_value(b))) {
-		w.state_proxy_equality_mismatch(equal ? '===' : '!==');
+		w.state_proxy_equality_mismatch(equal ? '===' : '!==', '');
 	}
 
 	return (a === b) === equal;
@@ -93,7 +102,7 @@ export function strict_equals(a, b, equal = true) {
  */
 export function equals(a, b, equal = true) {
 	if ((a == b) !== (get_proxied_value(a) == get_proxied_value(b))) {
-		w.state_proxy_equality_mismatch(equal ? '==' : '!=');
+		w.state_proxy_equality_mismatch(equal ? '==' : '!=', '');
 	}
 
 	return (a == b) === equal;
diff --git a/packages/svelte/src/internal/client/warnings.js b/packages/svelte/src/internal/client/warnings.js
index 31f67a725a..23c00f971d 100644
--- a/packages/svelte/src/internal/client/warnings.js
+++ b/packages/svelte/src/internal/client/warnings.js
@@ -114,12 +114,13 @@ export function ownership_invalid_mutation(component, owner) {
 }
 
 /**
- * Reactive `$state(...)` proxies and the values they proxy have different identities. Because of this, comparisons with `%operator%` will produce unexpected results. Consider using `$state.is(a, b)` instead
+ * Reactive `$state(...)` proxies and the values they proxy have different identities. Because of this, comparisons with `%operator%` will produce unexpected results. Consider using `$state.is(a, b)` instead%details%
  * @param {string} operator
+ * @param {string} details
  */
-export function state_proxy_equality_mismatch(operator) {
+export function state_proxy_equality_mismatch(operator, details) {
 	if (DEV) {
-		console.warn(`%c[svelte] state_proxy_equality_mismatch\n%cReactive \`$state(...)\` proxies and the values they proxy have different identities. Because of this, comparisons with \`${operator}\` will produce unexpected results. Consider using \`$state.is(a, b)\` instead`, bold, normal);
+		console.warn(`%c[svelte] state_proxy_equality_mismatch\n%cReactive \`$state(...)\` proxies and the values they proxy have different identities. Because of this, comparisons with \`${operator}\` will produce unexpected results. Consider using \`$state.is(a, b)\` instead${details}`, bold, normal);
 	} else {
 		// TODO print a link to the documentation
 		console.warn("state_proxy_equality_mismatch");