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Const-enum

Const-enum->ident

Get the ident field from a const-enum.

Signature
(const-enum->ident x) → ident
Arguments: x — Guard (constp x).
Returns: ident — Type (identp ident).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: const-enum->ident$inline

(defun const-enum->ident$inline (x)
  (declare (xargs :guard (constp x)))
  (declare (xargs :guard (equal (const-kind x) :enum)))
  (mbe :logic
       (b* ((x (and (equal (const-kind x) :enum) x)))
         (ident-fix (cdr x)))
       :exec (cdr x)))

Theorem: identp-of-const-enum->ident

(defthm identp-of-const-enum->ident
  (b* ((ident (const-enum->ident$inline x)))
    (identp ident))
  :rule-classes :rewrite)

Theorem: const-enum->ident$inline-of-const-fix-x

(defthm const-enum->ident$inline-of-const-fix-x
  (equal (const-enum->ident$inline (const-fix x))
         (const-enum->ident$inline x)))

Theorem: const-enum->ident$inline-const-equiv-congruence-on-x

(defthm const-enum->ident$inline-const-equiv-congruence-on-x
  (implies (const-equiv x x-equiv)
           (equal (const-enum->ident$inline x)
                  (const-enum->ident$inline x-equiv)))
  :rule-classes :congruence)

Theorem: const-enum->ident-when-wrong-kind

(defthm const-enum->ident-when-wrong-kind
  (implies (not (equal (const-kind x) :enum))
           (equal (const-enum->ident x)
                  (ident-fix nil))))