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• Svstmt-constraints

Svstmt-constraints->constraints

Get the constraints field from a svstmt-constraints.

Signature

(svstmt-constraints->constraints x) → constraints

Arguments

x — Guard (svstmt-p x).

Returns

constraints — Type (constraintlist-p constraints).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svstmt-constraints->constraints$inline

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

Theorem: constraintlist-p-of-svstmt-constraints->constraints

(defthm constraintlist-p-of-svstmt-constraints->constraints
  (b* ((constraints (svstmt-constraints->constraints$inline x)))
    (constraintlist-p constraints))
  :rule-classes :rewrite)

Theorem: svstmt-constraints->constraints$inline-of-svstmt-fix-x

(defthm svstmt-constraints->constraints$inline-of-svstmt-fix-x
  (equal (svstmt-constraints->constraints$inline (svstmt-fix x))
         (svstmt-constraints->constraints$inline x)))

Theorem: svstmt-constraints->constraints$inline-svstmt-equiv-congruence-on-x

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

Theorem: svstmt-constraints->constraints-when-wrong-kind

(defthm svstmt-constraints->constraints-when-wrong-kind
  (implies (not (equal (svstmt-kind x) :constraints))
           (equal (svstmt-constraints->constraints x)
                  (constraintlist-fix nil))))