Section Exports.
Definition inj_ext := E.
Definition injects := injects.
Definition Inject := Inject.

Lemma inj_hooks_complete (U W : world) K:
valid (U \+ W \+ (Unit, K)) ->
hook_complete U -> hook_complete W ->
hooks_consistent (U \+ W).1 K ->
hook_complete (U \+ W \+ (Unit, K)).