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Project-declaredLean 4.31.0 · null

Verify Always Allows is ok and complete

Cedar.Thm.verifyAlwaysAllows_is_ok_and_complete

Plain-language statement

Concrete version of verifyAlwaysAllows_is_complete.

Exact Lean statement

theorem verifyAlwaysAllows_is_ok_and_complete {ps₁ ps₁' : Policies} {Γ : TypeEnv} :
  Γ.WellFormed →
  wellTypedPolicies ps₁ Γ = .ok ps₁' →
  ∃ asserts,
    verifyAlwaysAllows ps₁' (SymEnv.ofEnv Γ) = .ok asserts ∧
    (SymEnv.ofEnv Γ ⊧ asserts →
      ∃ env : Env,
        InstanceOfWellFormedEnvironment env.request env.entities Γ ∧
        env.StronglyWellFormedForPolicies ps₁' ∧
        ¬ allows (Spec.isAuthorized env.request env.entities ps₁))

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
theorem verifyAlwaysAllows_is_ok_and_complete {ps₁ ps₁' : Policies} {Γ : TypeEnv} :  Γ.WellFormed   wellTypedPolicies ps₁ Γ = .ok ps₁'    asserts,    verifyAlwaysAllows ps₁' (SymEnv.ofEnv Γ) = .ok asserts     (SymEnv.ofEnv Γ ⊧ asserts        env : Env,        InstanceOfWellFormedEnvironment env.request env.entities Γ         env.StronglyWellFormedForPolicies ps₁'         ¬ allows (Spec.isAuthorized env.request env.entities ps₁)):= by  intros hwf hwt₁  have hwf_εnv₁ := ofEnv_swf_for_policies hwf hwt₁  have asserts, hok := verifyAlwaysAllows_is_ok hwf hwt₁  exists asserts  simp only [hok, true_and]  intros hsat  have env, hmodel, hswf_env₁, henum_comp, hres := verifyAlwaysAllows_is_complete hwf_εnv₁ hok hsat  have hinst := ofEnv_completeness hwf hswf_env₁.1 henum_comp hmodel  simp only [    wellTypedPolicies_preserves_isAuthorized hinst hwt₁,  ] at hres  exists env
Project
Cedar Specification
License
Apache-2.0
Commit
3f093947b8ae
Source
cedar-lean/Cedar/Thm/WellTypedVerification.lean:627-649

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