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Const-expr

Const-expr->expr

Get the expr field from a const-expr.

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

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

Definitions and Theorems

Function: const-expr->expr$inline

(defun const-expr->expr$inline (x)
  (declare (xargs :guard (const-exprp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'const-expr->expr))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (expr-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: exprp-of-const-expr->expr

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

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

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

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

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