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Expr-gensel

Expr-gensel->assocs

Get the assocs field from a expr-gensel.

Signature
(expr-gensel->assocs x) → assocs
Arguments: x — Guard (exprp x).
Returns: assocs — Type (genassoc-listp assocs).

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

Definitions and Theorems

Function: expr-gensel->assocs$inline

(defun expr-gensel->assocs$inline (x)
  (declare (xargs :guard (exprp x)))
  (declare (xargs :guard (equal (expr-kind x) :gensel)))
  (mbe :logic
       (b* ((x (and (equal (expr-kind x) :gensel) x)))
         (genassoc-list-fix (cdr (cdr x))))
       :exec (cdr (cdr x))))

Theorem: genassoc-listp-of-expr-gensel->assocs

(defthm genassoc-listp-of-expr-gensel->assocs
  (b* ((assocs (expr-gensel->assocs$inline x)))
    (genassoc-listp assocs))
  :rule-classes :rewrite)

Theorem: expr-gensel->assocs$inline-of-expr-fix-x

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

Theorem: expr-gensel->assocs$inline-expr-equiv-congruence-on-x

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

Theorem: expr-gensel->assocs-when-wrong-kind

(defthm expr-gensel->assocs-when-wrong-kind
  (implies (not (equal (expr-kind x) :gensel))
           (equal (expr-gensel->assocs x)
                  (genassoc-list-fix nil))))