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Expr-const

Expr-const->const

Get the const field from a expr-const.

Signature
(expr-const->const x) → const
Arguments: x — Guard (exprp x).
Returns: const — Type (constp const).

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

Definitions and Theorems

Function: expr-const->const$inline

(defun expr-const->const$inline (x)
  (declare (xargs :guard (exprp x)))
  (declare (xargs :guard (equal (expr-kind x) :const)))
  (let ((__function__ 'expr-const->const))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (expr-kind x) :const) x)))
           (const-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: constp-of-expr-const->const

(defthm constp-of-expr-const->const
  (b* ((const (expr-const->const$inline x)))
    (constp const))
  :rule-classes :rewrite)

Theorem: expr-const->const$inline-of-expr-fix-x

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

Theorem: expr-const->const$inline-expr-equiv-congruence-on-x

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

Theorem: expr-const->const-when-wrong-kind

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