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Abstract-syntax-operations

Expr-list-nocallsp

Check if a list of expressions does not contain any function calls.

Signature
(expr-list-nocallsp x) → std::bool

This is an ordinary std::deflist. It is "loose" in that it does not care whether x is nil-terminated.

Definitions and Theorems

Function: expr-list-nocallsp

(defun expr-list-nocallsp (x)
  (declare (xargs :guard (expr-listp x)))
  (let ((__function__ 'expr-list-nocallsp))
    (declare (ignorable __function__))
    (if (consp x)
        (and (expr-nocallsp (car x))
             (expr-list-nocallsp (cdr x)))
      t)))

Theorem: expr-list-nocallsp-of-expr-list-fix-x

(defthm expr-list-nocallsp-of-expr-list-fix-x
  (equal (expr-list-nocallsp (expr-list-fix x))
         (expr-list-nocallsp x)))

Theorem: expr-list-nocallsp-expr-list-equiv-congruence-on-x

(defthm expr-list-nocallsp-expr-list-equiv-congruence-on-x
  (implies (expr-list-equiv x x-equiv)
           (equal (expr-list-nocallsp x)
                  (expr-list-nocallsp x-equiv)))
  :rule-classes :congruence)

Subtopics

Expr-list-nocallsp-basics: Basic theorems about expr-list-nocallsp, generated by std::deflist.