All proofs
Project-declaredLean 4.31.0 · null

Wf εnv implies attrs wf

Cedar.Thm.wf_εnv_implies_attrs_wf

Plain-language statement

SymEnv being well-formed implies that any attribute function is well-formed

Exact Lean statement

public theorem wf_εnv_implies_attrs_wf
  {εnv : SymEnv} {ety : EntityType} {attrs : UnaryFunction}
  (hwf : εnv.WellFormed)
  (hattrs_exists : εnv.entities.attrs ety = .some attrs) :
  UnaryFunction.WellFormed εnv.entities attrs ∧
  attrs.argType = .entity ety ∧
  attrs.outType.isCedarRecordType

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
public theorem wf_εnv_implies_attrs_wf  {εnv : SymEnv} {ety : EntityType} {attrs : UnaryFunction}  (hwf : εnv.WellFormed)  (hattrs_exists : εnv.entities.attrs ety = .some attrs) :  UnaryFunction.WellFormed εnv.entities attrs   attrs.argType = .entity ety   attrs.outType.isCedarRecordType:= by  have _, _, hwf_entities := hwf  simp only [SymEntities.attrs, Option.bind_eq_bind] at hattrs_exists  cases hety_exists : Map.find? εnv.entities ety  all_goals simp only [hety_exists] at hattrs_exists  case none => contradiction  case some d =>    have h1, h2, h3, _ := hwf_entities ety d hety_exists    simp only [Option.bind_some, Option.some.injEq] at hattrs_exists    simp only [hattrs_exists] at h1 h2 h3    simp [h1, h2, h3]
Project
Cedar Specification
License
Apache-2.0
Commit
3f093947b8ae
Source
cedar-lean/Cedar/Thm/SymCC/Env/WF.lean:668-685

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