diff --git a/doc/core/grpc-error.md b/doc/core/grpc-error.md
index 105a6482845..41f4dd1dda7 100644
--- a/doc/core/grpc-error.md
+++ b/doc/core/grpc-error.md
@@ -71,24 +71,24 @@ errors, or pass them along to a function that would take over the ownership.
 A `grpc_closure` callback function is any function that has the signature:
 
 ```C
-void (*cb)(grpc_exec_ctx *exec_ctx, void *arg, grpc_error *error);
+void (*cb)(void *arg, grpc_error *error);
 ```
 
 This means that the error ownership is NOT transferred when a functions calls:
 
 ```C
-c->cb(exec_ctx, c->cb_arg, err);
+c->cb(c->cb_arg, err);
 ```
 
 The caller is still responsible for unref-ing the error.
 
-However, the above line is currently being phased out! It is safer to invoke
-callbacks with `GRPC_CLOSURE_RUN` and `GRPC_CLOSURE_SCHED`. These functions are
-not callbacks, so they will take ownership of the error passed to them.
+Note that you'll likely never need to run `c->cb(...)` yourself; the idiomatic
+way to execute callbacks is via the `Closure::Run` method, which takes ownership
+of the error variable.
 
 ```C
 grpc_error* error = GRPC_ERROR_CREATE_FROM_STATIC_STRING("Some error occurred");
-GRPC_CLOSURE_RUN(exec_ctx, cb, error);
+grpc_core::Closure::Run(DEBUG_LOCATION, c->cb, error);
 // current function no longer has ownership of the error
 ```
 
@@ -97,7 +97,7 @@ you must explicitly take a reference.
 
 ```C
 grpc_error* error = GRPC_ERROR_CREATE_FROM_STATIC_STRING("Some error occurred");
-GRPC_CLOSURE_RUN(exec_ctx, cb, GRPC_ERROR_REF(error));
+grpc_core::Closure::Run(DEBUG_LOCATION, c->cb, GRPC_ERROR_REF(error));
 // do some other things with the error
 GRPC_ERROR_UNREF(error);
 ```
@@ -109,7 +109,7 @@ would take ownership of the error, without explicitly taking ownership yourself.
 For example:
 
 ```C
-void on_some_action(grpc_exec_ctx *exec_ctx, void *arg, grpc_error *error) {
+void on_some_action(void *arg, grpc_error *error) {
   // this would cause a crash, because some_function will unref the error,
   // and the caller of this callback will also unref it.
   some_function(error);