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.isCedarRecordTypeFormal artifact
Lean source
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
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Related declarations
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.
Source project: Cedar Specification
Person-level attribution pending.
Find? notmem keys
Cedar.Data.Map.find?_notmem_keys
Plain-language statement
Inverse of find?_mem_toList, except that this requires wf
Source project: Cedar Specification
Person-level attribution pending.
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
Source project: Cedar Specification
Person-level attribution pending.