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Evalue+denv

Evalue+denv->evalue

Get the evalue field from a evalue+denv.

Signature
(evalue+denv->evalue x) → evalue
Arguments: x — Guard (evalue+denv-p x).
Returns: evalue — Type (expr-valuep evalue).

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

Definitions and Theorems

Function: evalue+denv->evalue$inline

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

Theorem: expr-valuep-of-evalue+denv->evalue

(defthm expr-valuep-of-evalue+denv->evalue
  (b* ((evalue (evalue+denv->evalue$inline x)))
    (expr-valuep evalue))
  :rule-classes :rewrite)

Theorem: evalue+denv->evalue$inline-of-evalue+denv-fix-x

(defthm evalue+denv->evalue$inline-of-evalue+denv-fix-x
  (equal (evalue+denv->evalue$inline (evalue+denv-fix x))
         (evalue+denv->evalue$inline x)))

Theorem: evalue+denv->evalue$inline-evalue+denv-equiv-congruence-on-x

(defthm evalue+denv->evalue$inline-evalue+denv-equiv-congruence-on-x
  (implies (evalue+denv-equiv x x-equiv)
           (equal (evalue+denv->evalue$inline x)
                  (evalue+denv->evalue$inline x-equiv)))
  :rule-classes :congruence)