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Atc-premise-cvalues

Atc-premise-cvalues->term

Get the term field from a atc-premise-cvalues.

Signature
(atc-premise-cvalues->term x) → term
Arguments: x — Guard (atc-premisep x).
Returns: term — Type (acl2::any-p term).

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

Definitions and Theorems

Function: atc-premise-cvalues->term$inline

(defun atc-premise-cvalues->term$inline (x)
  (declare (xargs :guard (atc-premisep x)))
  (declare (xargs :guard (equal (atc-premise-kind x) :cvalues)))
  (let ((__function__ 'atc-premise-cvalues->term))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (atc-premise-kind x) :cvalues)
                      x)))
           (identity (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: any-p-of-atc-premise-cvalues->term

(defthm any-p-of-atc-premise-cvalues->term
  (b* ((term (atc-premise-cvalues->term$inline x)))
    (acl2::any-p term))
  :rule-classes :rewrite)

Theorem: atc-premise-cvalues->term$inline-of-atc-premise-fix-x

(defthm atc-premise-cvalues->term$inline-of-atc-premise-fix-x
  (equal (atc-premise-cvalues->term$inline (atc-premise-fix x))
         (atc-premise-cvalues->term$inline x)))

Theorem: atc-premise-cvalues->term$inline-atc-premise-equiv-congruence-on-x

(defthm
 atc-premise-cvalues->term$inline-atc-premise-equiv-congruence-on-x
 (implies (atc-premise-equiv x x-equiv)
          (equal (atc-premise-cvalues->term$inline x)
                 (atc-premise-cvalues->term$inline x-equiv)))
 :rule-classes :congruence)

Theorem: atc-premise-cvalues->term-when-wrong-kind

(defthm atc-premise-cvalues->term-when-wrong-kind
  (implies (not (equal (atc-premise-kind x) :cvalues))
           (equal (atc-premise-cvalues->term x)
                  (identity nil))))