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Expr-binary

Expr-binary->info

Get the info field from a expr-binary.

Signature
(expr-binary->info x) → info
Arguments: x — Guard (exprp x).
Returns: info — Type (acl2::any-p info).

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

Definitions and Theorems

Function: expr-binary->info$inline

(defun expr-binary->info$inline (x)
  (declare (xargs :guard (exprp x)))
  (declare (xargs :guard (equal (expr-kind x) :binary)))
  (mbe :logic
       (b* ((x (and (equal (expr-kind x) :binary) x)))
         (identity (cdr (cdr (cdr x)))))
       :exec (cdr (cdr (cdr x)))))

Theorem: any-p-of-expr-binary->info

(defthm any-p-of-expr-binary->info
  (b* ((info (expr-binary->info$inline x)))
    (acl2::any-p info))
  :rule-classes :rewrite)

Theorem: expr-binary->info$inline-of-expr-fix-x

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

Theorem: expr-binary->info$inline-expr-equiv-congruence-on-x

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

Theorem: expr-binary->info-when-wrong-kind

(defthm expr-binary->info-when-wrong-kind
  (implies (not (equal (expr-kind x) :binary))
           (equal (expr-binary->info x)
                  (identity nil))))