# Objective
The implementation of `System::run_unsafe` for `FunctionSystem` requires
that the world is the same one used to initialize the system. However,
the `System` trait has no requirements that the world actually matches,
which makes this implementation unsound.
This was previously mentioned in
https://github.com/bevyengine/bevy/pull/7605#issuecomment-1426491871
Fixes part of #7833.
## Solution
Add the safety invariant that
`System::update_archetype_component_access` must be called prior to
`System::run_unsafe`. Since
`FunctionSystem::update_archetype_component_access` properly validates
the world, this ensures that `run_unsafe` is not called with a
mismatched world.
Most exclusive systems are not required to be run on the same world that
they are initialized with, so this is not a concern for them. Systems
formed by combining an exclusive system with a regular system *do*
require the world to match, however the validation is done inside of
`System::run` when needed.
# Objective
Fix#7584.
## Solution
Add an abstraction for creating custom system combinators with minimal boilerplate. Use this to implement AND/OR combinators. Use this to simplify the implementation of `PipeSystem`.
## Example
Feel free to bikeshed on the syntax.
I chose the names `and_then`/`or_else` to emphasize the fact that these short-circuit, while I chose method syntax to empasize that the arguments are *not* treated equally.
```rust
app.add_systems((
my_system.run_if(resource_exists::<R>().and_then(resource_equals(R(0)))),
our_system.run_if(resource_exists::<R>().or_else(resource_exists::<S>())),
));
```
---
## Todo
- [ ] Decide on a syntax
- [x] Write docs
- [x] Write tests
## Changelog
+ Added the extension methods `.and_then(...)` and `.or_else(...)` to run conditions, which allows combining run conditions with short-circuiting behavior.
+ Added the trait `Combine`, which can be used with the new `CombinatorSystem` to create system combinators with custom behavior.
