diff --git a/yazi-actor/src/mgr/yank.rs b/yazi-actor/src/mgr/yank.rs
index 2a96ec7f..a68368b8 100644
--- a/yazi-actor/src/mgr/yank.rs
+++ b/yazi-actor/src/mgr/yank.rs
@@ -2,7 +2,7 @@ use anyhow::Result;
 use yazi_core::mgr::Yanked;
 use yazi_macro::{act, render};
 use yazi_parser::mgr::YankOpt;
-use yazi_shared::event::Data;
+use yazi_shared::{event::Data, url::CovUrl};
 
 use crate::{Actor, Ctx};
 
@@ -16,7 +16,8 @@ impl Actor for Yank {
 	fn act(cx: &mut Ctx, opt: Self::Options) -> Result<Data> {
 		act!(mgr:escape_visual, cx)?;
 
-		cx.mgr.yanked = Yanked::new(opt.cut, cx.tab().selected_or_hovered().cloned().collect());
+		cx.mgr.yanked =
+			Yanked::new(opt.cut, cx.tab().selected_or_hovered().cloned().map(CovUrl).collect());
 		render!(cx.mgr.yanked.catchup_revision(true));
 
 		act!(mgr:escape_select, cx)
diff --git a/yazi-binding/src/url.rs b/yazi-binding/src/url.rs
index 4c8a600a..95a82ad6 100644
--- a/yazi-binding/src/url.rs
+++ b/yazi-binding/src/url.rs
@@ -1,7 +1,7 @@
 use std::{borrow::Cow, ops::Deref};
 
 use mlua::{AnyUserData, ExternalError, FromLua, Lua, MetaMethod, UserData, UserDataFields, UserDataMethods, UserDataRef, Value};
-use yazi_shared::url::Scheme;
+use yazi_shared::url::{CovUrl, Scheme};
 
 use crate::{Urn, cached_field};
 
@@ -41,6 +41,10 @@ impl<'a> From<&'a Url> for Cow<'a, yazi_shared::url::Url> {
 	fn from(value: &'a Url) -> Self { Cow::Borrowed(&value.inner) }
 }
 
+impl From<Url> for yazi_shared::url::CovUrl {
+	fn from(value: Url) -> Self { CovUrl(value.inner) }
+}
+
 impl TryFrom<&[u8]> for Url {
 	type Error = mlua::Error;
 
diff --git a/yazi-core/src/mgr/yanked.rs b/yazi-core/src/mgr/yanked.rs
index e585ceff..e585419b 100644
--- a/yazi-core/src/mgr/yanked.rs
+++ b/yazi-core/src/mgr/yanked.rs
@@ -3,28 +3,28 @@ use std::{collections::HashSet, ops::Deref};
 use yazi_dds::Pubsub;
 use yazi_fs::FilesOp;
 use yazi_macro::err;
-use yazi_shared::url::Url;
+use yazi_shared::url::{CovUrl, Url};
 
 #[derive(Debug, Default)]
 pub struct Yanked {
 	pub cut: bool,
-	urls:    HashSet<Url>,
+	urls:    HashSet<CovUrl>,
 
 	version:  u64,
 	revision: u64,
 }
 
 impl Deref for Yanked {
-	type Target = HashSet<Url>;
+	type Target = HashSet<CovUrl>;
 
 	fn deref(&self) -> &Self::Target { &self.urls }
 }
 
 impl Yanked {
-	pub fn new(cut: bool, urls: HashSet<Url>) -> Self { Self { cut, urls, ..Default::default() } }
+	pub fn new(cut: bool, urls: HashSet<CovUrl>) -> Self { Self { cut, urls, ..Default::default() } }
 
 	pub fn remove(&mut self, url: &Url) {
-		if self.urls.remove(url) {
+		if self.urls.remove(CovUrl::new(url)) {
 			self.revision += 1;
 		}
 	}
@@ -38,11 +38,15 @@ impl Yanked {
 		self.revision += 1;
 	}
 
+	#[inline]
+	pub fn contains(&self, url: impl AsRef<Url>) -> bool { self.urls.contains(CovUrl::new(&url)) }
+
 	pub fn contains_in(&self, dir: &Url) -> bool {
 		self.urls.iter().any(|u| {
 			let mut it = u.components();
-			// FIXME
-			it.next_back().is_some() && it == dir.components() && u.parent_url().as_ref() == Some(dir)
+			it.next_back().is_some()
+				&& it.covariant(&dir.components())
+				&& u.parent_url().is_some_and(|p| p == *dir)
 		})
 	}
 
@@ -56,7 +60,7 @@ impl Yanked {
 
 		if !addition.is_empty() {
 			let old = self.urls.len();
-			self.urls.extend(addition);
+			self.urls.extend(addition.into_iter().map(CovUrl));
 			self.revision += (old != self.urls.len()) as u64;
 		}
 	}
diff --git a/yazi-core/src/tasks/file.rs b/yazi-core/src/tasks/file.rs
index 65bff641..27441aad 100644
--- a/yazi-core/src/tasks/file.rs
+++ b/yazi-core/src/tasks/file.rs
@@ -1,51 +1,51 @@
 use std::collections::HashSet;
 
 use tracing::debug;
-use yazi_shared::url::Url;
+use yazi_shared::url::{CovUrl, Url};
 
 use super::Tasks;
 
 impl Tasks {
-	pub fn file_cut(&self, src: &[&Url], dest: &Url, force: bool) {
+	pub fn file_cut(&self, src: &[&CovUrl], dest: &Url, force: bool) {
 		for &u in src {
 			let to = dest.join(u.file_name().unwrap());
 			if force && *u == to {
 				debug!("file_cut: same file, skipping {:?}", to);
 			} else {
-				self.scheduler.file_cut(u.clone(), to, force);
+				self.scheduler.file_cut(u.0.clone(), to, force);
 			}
 		}
 	}
 
-	pub fn file_copy(&self, src: &[&Url], dest: &Url, force: bool, follow: bool) {
+	pub fn file_copy(&self, src: &[&CovUrl], dest: &Url, force: bool, follow: bool) {
 		for &u in src {
 			let to = dest.join(u.file_name().unwrap());
 			if force && *u == to {
 				debug!("file_copy: same file, skipping {:?}", to);
 			} else {
-				self.scheduler.file_copy(u.clone(), to, force, follow);
+				self.scheduler.file_copy(u.0.clone(), to, force, follow);
 			}
 		}
 	}
 
-	pub fn file_link(&self, src: &HashSet<Url>, dest: &Url, relative: bool, force: bool) {
+	pub fn file_link(&self, src: &HashSet<CovUrl>, dest: &Url, relative: bool, force: bool) {
 		for u in src {
 			let to = dest.join(u.file_name().unwrap());
 			if force && *u == to {
 				debug!("file_link: same file, skipping {:?}", to);
 			} else {
-				self.scheduler.file_link(u.clone(), to, relative, force);
+				self.scheduler.file_link(u.0.clone(), to, relative, force);
 			}
 		}
 	}
 
-	pub fn file_hardlink(&self, src: &HashSet<Url>, dest: &Url, force: bool, follow: bool) {
+	pub fn file_hardlink(&self, src: &HashSet<CovUrl>, dest: &Url, force: bool, follow: bool) {
 		for u in src {
 			let to = dest.join(u.file_name().unwrap());
 			if force && *u == to {
 				debug!("file_hardlink: same file, skipping {:?}", to);
 			} else {
-				self.scheduler.file_hardlink(u.clone(), to, force, follow);
+				self.scheduler.file_hardlink(u.0.clone(), to, force, follow);
 			}
 		}
 	}
diff --git a/yazi-dds/src/body/yank.rs b/yazi-dds/src/body/yank.rs
index 3f1f443e..245a394e 100644
--- a/yazi-dds/src/body/yank.rs
+++ b/yazi-dds/src/body/yank.rs
@@ -3,7 +3,7 @@ use std::{borrow::Cow, collections::HashSet};
 use mlua::{IntoLua, Lua, Value};
 use serde::{Deserialize, Serialize};
 use yazi_parser::mgr::UpdateYankedOpt;
-use yazi_shared::url::Url;
+use yazi_shared::url::CovUrl;
 
 use super::Body;
 
@@ -11,13 +11,13 @@ use super::Body;
 pub struct BodyYank<'a>(UpdateYankedOpt<'a>);
 
 impl<'a> BodyYank<'a> {
-	pub fn borrowed(cut: bool, urls: &'a HashSet<Url>) -> Body<'a> {
+	pub fn borrowed(cut: bool, urls: &'a HashSet<CovUrl>) -> Body<'a> {
 		Self(UpdateYankedOpt { cut, urls: Cow::Borrowed(urls) }).into()
 	}
 }
 
 impl BodyYank<'static> {
-	pub fn owned(cut: bool, _: &HashSet<Url>) -> Body<'static> {
+	pub fn owned(cut: bool, _: &HashSet<CovUrl>) -> Body<'static> {
 		Self(UpdateYankedOpt { cut, urls: Default::default() }).into()
 	}
 }
diff --git a/yazi-dds/src/pubsub.rs b/yazi-dds/src/pubsub.rs
index e2db0362..a9f3795d 100644
--- a/yazi-dds/src/pubsub.rs
+++ b/yazi-dds/src/pubsub.rs
@@ -5,7 +5,7 @@ use mlua::Function;
 use parking_lot::RwLock;
 use yazi_boot::BOOT;
 use yazi_fs::FolderStage;
-use yazi_shared::{Id, RoCell, url::Url};
+use yazi_shared::{Id, RoCell, url::{CovUrl, Url}};
 
 use crate::{Client, ID, PEERS, body::{Body, BodyBulk, BodyHi, BodyMoveItem}};
 
@@ -157,7 +157,7 @@ impl Pubsub {
 
 	pub_after!(rename(tab: Id, from: &Url, to: &Url), (tab, from, to));
 
-	pub_after!(@yank(cut: bool, urls: &HashSet<Url>), (cut, urls));
+	pub_after!(@yank(cut: bool, urls: &HashSet<CovUrl>), (cut, urls));
 
 	pub_after!(move(items: Vec<BodyMoveItem>), (&items), (items));
 
diff --git a/yazi-parser/src/mgr/update_yanked.rs b/yazi-parser/src/mgr/update_yanked.rs
index d1f60874..0d303ce5 100644
--- a/yazi-parser/src/mgr/update_yanked.rs
+++ b/yazi-parser/src/mgr/update_yanked.rs
@@ -4,17 +4,17 @@ use anyhow::bail;
 use mlua::{AnyUserData, ExternalError, IntoLua, Lua, MetaMethod, MultiValue, ObjectLike, UserData, UserDataFields, UserDataMethods, Value};
 use serde::{Deserialize, Serialize};
 use yazi_binding::get_metatable;
-use yazi_shared::{event::CmdCow, url::Url};
+use yazi_shared::{event::CmdCow, url::CovUrl};
 
 type Iter = yazi_binding::Iter<
-	std::iter::Map<std::collections::hash_set::IntoIter<Url>, fn(Url) -> yazi_binding::Url>,
+	std::iter::Map<std::collections::hash_set::IntoIter<CovUrl>, fn(CovUrl) -> yazi_binding::Url>,
 	yazi_binding::Url,
 >;
 
 #[derive(Clone, Debug, Default, Serialize, Deserialize)]
 pub struct UpdateYankedOpt<'a> {
 	pub cut:  bool,
-	pub urls: Cow<'a, HashSet<Url>>,
+	pub urls: Cow<'a, HashSet<CovUrl>>,
 }
 
 impl TryFrom<CmdCow> for UpdateYankedOpt<'_> {
diff --git a/yazi-shared/src/url/component.rs b/yazi-shared/src/url/component.rs
index 4fcd3058..dc5d10f5 100644
--- a/yazi-shared/src/url/component.rs
+++ b/yazi-shared/src/url/component.rs
@@ -84,6 +84,15 @@ impl<'a> Components<'a> {
 		s.push(path);
 		s.into()
 	}
+
+	pub fn covariant(&self, other: &Self) -> bool {
+		match (self.scheme_yielded, other.scheme_yielded) {
+			(false, false) => {}
+			(true, true) if self.scheme.covariant(other.scheme) => {}
+			_ => return false,
+		}
+		self.inner == other.inner
+	}
 }
 
 impl<'a> Iterator for Components<'a> {
diff --git a/yazi-shared/src/url/cov.rs b/yazi-shared/src/url/cov.rs
index 0a9f51ab..2f33f0a3 100644
--- a/yazi-shared/src/url/cov.rs
+++ b/yazi-shared/src/url/cov.rs
@@ -1,8 +1,10 @@
 use std::{hash::{Hash, Hasher}, ops::Deref};
 
+use serde::{Deserialize, Serialize};
+
 use crate::url::Url;
 
-#[derive(Clone, Debug, Eq)]
+#[derive(Clone, Debug, Deserialize, Eq, Serialize)]
 #[repr(transparent)]
 pub struct CovUrl(pub Url);
 
@@ -12,6 +14,18 @@ impl Deref for CovUrl {
 	fn deref(&self) -> &Self::Target { &self.0 }
 }
 
+impl AsRef<Url> for CovUrl {
+	fn as_ref(&self) -> &Url { &self.0 }
+}
+
+impl From<Url> for CovUrl {
+	fn from(value: Url) -> Self { Self(value) }
+}
+
+impl From<CovUrl> for Url {
+	fn from(value: CovUrl) -> Self { value.0 }
+}
+
 impl Hash for CovUrl {
 	fn hash<H: Hasher>(&self, state: &mut H) {
 		self.loc.hash(state);
@@ -25,6 +39,10 @@ impl PartialEq for CovUrl {
 	fn eq(&self, other: &Self) -> bool { self.covariant(other) }
 }
 
+impl PartialEq<Url> for CovUrl {
+	fn eq(&self, other: &Url) -> bool { self.covariant(other) }
+}
+
 impl CovUrl {
 	#[inline]
 	pub fn new<T: AsRef<Url>>(u: &T) -> &Self {