Plain-language statement
If some entity exists in Γ, then it must also exists in SymEnv.ofEnv Γ with the corresponding SymEntityData
Exact Lean statement
theorem ofEnv_preserves_entity
{Γ : TypeEnv} {εnv : SymEnv} {ety : EntityType} {entry : EntitySchemaEntry}
(hεnv : εnv = SymEnv.ofEnv Γ)
(hfind : Map.find? Γ.ets ety = some entry) :
Map.find? εnv.entities ety = some (SymEntityData.ofEntityType ety entry)Formal artifact
Lean source
theorem ofEnv_preserves_entity {Γ : TypeEnv} {εnv : SymEnv} {ety : EntityType} {entry : EntitySchemaEntry} (hεnv : εnv = SymEnv.ofEnv Γ) (hfind : Map.find? Γ.ets ety = some entry) : Map.find? εnv.entities ety = some (SymEntityData.ofEntityType ety entry):= by simp only [Map.find?, hεnv, SymEnv.ofEnv, SymEntities.ofSchema] simp only [Map.find?] at hfind split at hfind case _ _ _ hfind2 => simp only [Option.some.injEq] at hfind simp only [hfind] at hfind2 have hfind := hfind2 have h := List.find?_some hfind simp only [beq_iff_eq] at h simp only [h] at hfind rw [← Map.find?] rw [← Map.list_find?_iff_make_find?] apply List.find?_implies_append_find? apply List.find?_implies_find?_fst_map assumption case _ => contradiction- Project
- Cedar Specification
- License
- Apache-2.0
- Commit
- 3f093947b8ae
- Source
- cedar-lean/Cedar/Thm/SymCC/Env/ofEnv.lean:30-51
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Person-level attribution pending.
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Person-level attribution pending.
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Cedar.Data.Map.find?_some_iff_in_values
Plain-language statement
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Source project: Cedar Specification
Person-level attribution pending.