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• Abstract-syntax-operations

Initer-option-nocallsp

Check if an optional initializer does not contain any function calls.

Signature

(initer-option-nocallsp initer?) → yes/no

Arguments

initer? — Guard (initer-optionp initer?).

Returns

yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: initer-option-nocallsp

(defun initer-option-nocallsp (initer?)
  (declare (xargs :guard (initer-optionp initer?)))
  (let ((__function__ 'initer-option-nocallsp))
    (declare (ignorable __function__))
    (initer-option-case initer?
                        :some (initer-nocallsp initer?.val)
                        :none t)))

Theorem: booleanp-of-initer-option-nocallsp

(defthm booleanp-of-initer-option-nocallsp
  (b* ((yes/no (initer-option-nocallsp initer?)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: initer-option-nocallsp-of-initer-option-fix-initer?

(defthm initer-option-nocallsp-of-initer-option-fix-initer?
  (equal (initer-option-nocallsp (initer-option-fix initer?))
         (initer-option-nocallsp initer?)))

Theorem: initer-option-nocallsp-initer-option-equiv-congruence-on-initer?

(defthm
   initer-option-nocallsp-initer-option-equiv-congruence-on-initer?
  (implies (initer-option-equiv initer? initer?-equiv)
           (equal (initer-option-nocallsp initer?)
                  (initer-option-nocallsp initer?-equiv)))
  :rule-classes :congruence)