Plain-language statement
Similar to compileApp₂_wf_types, but for compile
Exact Lean statement
theorem compile_binaryApp_wf_types
{op : BinaryOp} {a : TypedExpr} {b : TypedExpr} {ty : CedarType}
{t : Term} {tcomp_a : Term} {tcomp_b : Term}
{εnv : SymEnv}
(hwf_ent : εnv.entities.WellFormed)
(hok_a : compile a.toExpr εnv = Except.ok tcomp_a)
(hok_b : compile b.toExpr εnv = Except.ok tcomp_b)
(hwf_get_comp_a : Term.WellFormed εnv.entities (Factory.option.get tcomp_a))
(hwf_get_comp_b : Term.WellFormed εnv.entities (Factory.option.get tcomp_b))
(hok : compile (TypedExpr.toExpr (.binaryApp op a b ty)) εnv = .ok t) :
match op with
| .add | .sub | .mul => t.typeOf = .option (.bitvec 64)
| .getTag =>
∃ ety τs,
(Factory.option.get tcomp_a).typeOf = .entity ety ∧
εnv.entities.tags ety = some (some τs) ∧
t.typeOf = τs.vals.outType.option
| _ => t.typeOf = .option .boolFormal artifact
Lean source
theorem compile_binaryApp_wf_types {op : BinaryOp} {a : TypedExpr} {b : TypedExpr} {ty : CedarType} {t : Term} {tcomp_a : Term} {tcomp_b : Term} {εnv : SymEnv} (hwf_ent : εnv.entities.WellFormed) (hok_a : compile a.toExpr εnv = Except.ok tcomp_a) (hok_b : compile b.toExpr εnv = Except.ok tcomp_b) (hwf_get_comp_a : Term.WellFormed εnv.entities (Factory.option.get tcomp_a)) (hwf_get_comp_b : Term.WellFormed εnv.entities (Factory.option.get tcomp_b)) (hok : compile (TypedExpr.toExpr (.binaryApp op a b ty)) εnv = .ok t) : match op with | .add | .sub | .mul => t.typeOf = .option (.bitvec 64) | .getTag => ∃ ety τs, (Factory.option.get tcomp_a).typeOf = .entity ety ∧ εnv.entities.tags ety = some (some τs) ∧ t.typeOf = τs.vals.outType.option | _ => t.typeOf = .option .bool:= by simp only [TypedExpr.toExpr, compile, hok_a, hok_b, Except.bind_ok] at hok simp_do_let (compileApp₂ op (Factory.option.get tcomp_a) (Factory.option.get tcomp_b) εnv.entities) at hok simp only [Except.ok.injEq] at hok case ok tcomp_app hcomp_app => have h := (compileApp₂_wf_types hwf_ent hwf_get_comp_a hwf_get_comp_b hcomp_app ).right -- tcomp_app and t should have the same type have heqty : t.typeOf = tcomp_app.typeOf := by simp only [← hok] cases op any_goals simp only [h] apply typeOf_ifSome_option apply typeOf_ifSome_option assumption -- Special case for getTag case getTag => have ⟨_, _, _, _, h⟩ := h simp only [h] apply typeOf_ifSome_option apply typeOf_ifSome_option assumption cases op any_goals simp only [exists_and_left] at h simp [h, heqty]- Project
- Cedar Specification
- License
- Apache-2.0
- Commit
- 3f093947b8ae
- Source
- cedar-lean/Cedar/Thm/SymCC/Compiler/WellTyped.lean:628-682
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Person-level attribution pending.