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scoped_lock proof sketch #76

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37 changes: 37 additions & 0 deletions rocq-brick-libstdcpp/proof/mutex/proof/scoped_lock.v
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Require Import skylabs.auto.cpp.prelude.proof.
Require Import skylabs.brick.libstdcpp.mutex.spec.scoped_lock.
Require Import skylabs.brick.libstdcpp.mutex.spec.unique_lock.

Require Import skylabs.brick.libstdcpp.mutex.inc_hpp.

Import linearity.

Section with_cpp.
Context `{Σ : cpp_logic, σ : genv}.
Context {HAS_THREADS : HasStdThreads Σ}.

Import scoped_lock.

cpp.spec "std::tie<...<std::mutex, std::mutex>>(std::mutex&, std::mutex&)" from source inline.
cpp.spec "std::tuple<...<std::mutex&, std::mutex&>>::tuple<1b, 1b>(std::mutex&, std::mutex&)" from source inline.
cpp.spec "std::lock<std::mutex, std::mutex, ...<>>(std::mutex&, std::mutex&)" from source inline.

Lemma ctor_ok : verify?[source] ctor_spec.
Proof.
verify_spec; go.
iExists _; go.
by rewrite left_id_L.
Qed.

Lemma dtor_ok : verify[source] dtor_spec.
Proof.
verify_spec.
rewrite !R.unlock.
go; try by ego.
iExists _; go.
rewrite !left_id_L.
go.
Qed.

End with_cpp.

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