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Project-declaredLean 4.31.0 · null

And produces bool or error

Cedar.Thm.and_produces_bool_or_error

Plain-language statement

Every and expression produces either .ok bool or .error

Exact Lean statement

theorem and_produces_bool_or_error (e₁ e₂ : Expr) (request : Request) (entities : Entities) :
  match (evaluate (Expr.and e₁ e₂) request entities) with
  | .ok (.prim (.bool _)) => true
  | .error _ => true
  | _ => false

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
theorem and_produces_bool_or_error (e₁ e₂ : Expr) (request : Request) (entities : Entities) :  match (evaluate (Expr.and e₁ e₂) request entities) with  | .ok (.prim (.bool _)) => true  | .error _ => true  | _ => false:= by  cases h : evaluate (Expr.and e₁ e₂) request entities <;> simp  case ok val =>    cases val    <;> simp only [evaluate, Result.as, Coe.coe, Value.asBool, Bool.not_eq_true', pure, Except.pure] at h    <;> generalize (evaluate e₁ request entities) = r₁ at h    <;> generalize (evaluate e₂ request entities) = r₂ at h    case prim prim =>      cases prim <;> simp      case int | string | entityUID =>        split at h <;> split at h <;> simp only [Except.bind_ok, Except.bind_err, reduceCtorEq] at h        split at h        case _ => simp only [Except.ok.injEq, Value.prim.injEq, reduceCtorEq] at h        case _ =>          split at h          case _ => split at h <;> simp only [Except.bind_ok, Except.bind_err, Except.ok.injEq, Value.prim.injEq, reduceCtorEq] at h          case _ => simp only [Except.bind_err, reduceCtorEq] at h    case set | record | ext =>      exfalso      split at h <;> split at h <;> simp only [Except.bind_ok, Except.bind_err, reduceCtorEq] at h      split at h      · simp only [Except.ok.injEq, reduceCtorEq] at h      · split at h        · split at h <;> simp only [Except.bind_ok, Except.bind_err, Except.ok.injEq, reduceCtorEq] at h        · simp only [Except.bind_err, reduceCtorEq] at h
Project
Cedar Specification
License
Apache-2.0
Commit
3f093947b8ae
Source
cedar-lean/Cedar/Thm/Authorization/Evaluator.lean:175-204

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Project-declaredLean 4.31.0

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Person-level attribution pending.

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Project-declaredLean 4.31.0

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Plain-language statement

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Person-level attribution pending.

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Project-declaredLean 4.31.0

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Plain-language statement

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authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

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