Project-declaredLean 4.31.0 · null

Ancs UDF app

Cedar.Thm.ancsUDF_app

authorization program verification semantics of env

Plain-language statement

Simplifies SymEntityData.ofActionType.ancsUDF

Exact Lean statement

theorem ancsUDF_app
  {Γ : TypeEnv} {uid : EntityUID} {entry : ActionSchemaEntry}
  (ancTy : EntityType)
  (hwf : Γ.WellFormed)
  (hfind : Map.find? Γ.acts uid = some entry) :
  Factory.app
      (SymEntityData.ofActionType.ancsUDF uid.ty Γ.acts ancTy)
      (Term.entity uid)
    = SymEntityData.ofActionType.ancsTerm ancTy entry.ancestors.toList

Formal artifact

Lean source

Canonical source

Full Lean sourceLean 4

theorem ancsUDF_app  {Γ : TypeEnv} {uid : EntityUID} {entry : ActionSchemaEntry}  (ancTy : EntityType)  (hwf : Γ.WellFormed)  (hfind : Map.find? Γ.acts uid = some entry) :  Factory.app      (SymEntityData.ofActionType.ancsUDF uid.ty Γ.acts ancTy)      (Term.entity uid)    = SymEntityData.ofActionType.ancsTerm ancTy entry.ancestors.toList:= by  simp only [SymEntityData.ofActionType.ancsUDF]  have hwf_acts := wf_env_implies_wf_acts_map hwf  apply app_table_make_filterMap hfind  · simp [SymEntityData.ofActionType.termOfType?]  · intros kv hkv    simp only [      SymEntityData.ofActionType.termOfType?,      Option.bind_eq_bind,    ] at hkv    split at hkv    · simp only [        Option.bind_some, Option.some.injEq,        Prod.mk.injEq, Term.prim.injEq,        TermPrim.entity.injEq, exists_and_left,        exists_eq', and_true,      ] at hkv      exact hkv    · simp at hkv  · simp only [Term.isLiteral]

Project: Cedar Specification
License: Apache-2.0
Commit: 3f093947b8ae
Source: cedar-lean/Cedar/Thm/SymCC/Env/ofEnv.lean:1403-1431

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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.

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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.

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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