All proofs
Project-declaredLean 4.31.0 · null

Unchanged erroring when add policy

Cedar.Thm.unchanged_erroring_when_add_policy

Plain-language statement

If P is an erroring policy, then adding another policy won’t change that (even if the decision changes).

Exact Lean statement

theorem unchanged_erroring_when_add_policy (request: Request) (entities: Entities) (policies : Policies) (policy₀ : Policy) :
  (isAuthorized request entities policies).erroringPolicies ⊆ (isAuthorized request entities (policy₀ :: policies)).erroringPolicies

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
theorem unchanged_erroring_when_add_policy (request: Request) (entities: Entities) (policies : Policies) (policy₀ : Policy) :  (isAuthorized request entities policies).erroringPolicies  (isAuthorized request entities (policy₀ :: policies)).erroringPolicies  := by  unfold isAuthorized  simp only [Bool.and_eq_true, Bool.not_eq_eq_eq_not, Bool.not_true]  split <;> split  all_goals {    unfold errorPolicies    simp only [List.filterMap_cons]    cases errored policy₀ request entities    · simp only [Set.subset_def, imp_self, implies_true]    · rw [Set.make_cons_eq_singleton_union, Set.union_comm]; apply Set.subset_union  }
Project
Cedar Specification
License
Apache-2.0
Commit
3f093947b8ae
Source
cedar-lean/Cedar/Thm/Authorization.lean:232-244

Reuse this declaration

Bring the exact result into your workflow

The import identifies the source module. Your project still needs the pinned package dependency shown on this page.

What this badge means

This completion status comes from the project or community source. It has not yet been represented here as an independent rebuild and axiom audit.

Continue in this project

Related declarations

Project-declaredLean 4.31.0

Find? ext

Cedar.Data.Map.find?_ext

Plain-language statement

Two well-formed maps are equal if they have the same find? for every key.

authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Find? notmem keys

Cedar.Data.Map.find?_notmem_keys

Plain-language statement

Inverse of find?_mem_toList, except that this requires wf

authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Find? some iff in values

Cedar.Data.Map.find?_some_iff_in_values

Plain-language statement

The mp direction of this does not need the wf precondition and, in fact, is available separately as find?_some_implies_in_values above

authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

View proof record