docs: typos (paradigmxyz#14806)

Author: shekhirin

book/developers/exex/how-it-works.md

@@ -11,7 +11,7 @@ Reth manages the lifecycle of all ExExes, including:
 - Sending [notifications](https://reth.rs/docs/reth_exex/enum.ExExNotification.html) about new chain, reverts,
   and reorgs from historical and live sync
 - Processing [events](https://reth.rs/docs/reth_exex/enum.ExExEvent.html) emitted by ExExes
-- Pruning (in case of a full or pruned node) only the data that have been processed by all ExExes
+- Pruning (in case of a full or pruned node) only the data that has been processed by all ExExes
 - Shutting ExExes down when the node is shut down
 
 ## Pruning

crates/engine/tree/src/tree/payload_processor/prewarm.rs

@@ -209,7 +209,7 @@ where
         + ConfigureEvm<Header = N::BlockHeader, Transaction = N::SignedTx>
         + 'static,
 {
-    /// Transacts the the transactions and transform the state into [`MultiProofTargets`].
+    /// Transacts the transactions and transform the state into [`MultiProofTargets`].
     fn prepare_multiproof_targets(self, tx: Recovered<N::SignedTx>) -> Option<MultiProofTargets> {
         let metrics = self.metrics.clone();
         let state = self.transact(tx)?;

crates/net/downloaders/src/headers/reverse_headers.rs

@@ -304,9 +304,9 @@ where
 
             // If the header is valid on its own, but not against its parent, we return it as
             // detached head error.
-            // In stage sync this will trigger an unwind because this means that the the local head
+            // In stage sync this will trigger an unwind because this means that the local head
             // is not part of the chain the sync target is on. In other words, the downloader was
-            // unable to connect the the sync target with the local head because the sync target and
+            // unable to connect the sync target with the local head because the sync target and
             // the local head or on different chains.
             if let Err(error) = self.consensus.validate_header_against_parent(&*last_header, head) {
                 let local_head = head.clone();

crates/optimism/chain-registry/src/lib.rs

@@ -1,4 +1,4 @@
-//! Utilities for interacting the the optimism superchain registry
+//! Utilities for interacting the optimism superchain registry
 
 #![doc(
     html_logo_url = "https://raw.githubusercontent.com/paradigmxyz/reth/main/assets/reth-docs.png",

crates/optimism/evm/src/l1.rs

@@ -38,7 +38,7 @@ pub fn extract_l1_info<B: BlockBody>(body: &B) -> Result<L1BlockInfo, OpBlockExe
     extract_l1_info_from_tx(l1_info_tx)
 }
 
-/// Extracts the [`L1BlockInfo`] from the the L1 info transaction (first transaction) in the L2
+/// Extracts the [`L1BlockInfo`] from the L1 info transaction (first transaction) in the L2
 /// block.
 ///
 /// Returns an error if the calldata is shorter than 4 bytes.

crates/tasks/src/lib.rs

@@ -176,7 +176,7 @@ pub struct TaskManager {
 // === impl TaskManager ===
 
 impl TaskManager {
-    /// Returns a a [`TaskManager`] over the currently running Runtime.
+    /// Returns a [`TaskManager`] over the currently running Runtime.
     ///
     /// # Panics
     ///