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• Primitive-functions

Primitive-function-namep

Check if a symbol value is the name of a primitive function.

Signature

(primitive-function-namep name) → yes/no

Arguments

name — Guard (symbol-valuep name).

Returns

yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: primitive-function-namep

(defun primitive-function-namep (name)
 (declare (xargs :guard (symbol-valuep name)))
 (let ((__function__ 'primitive-function-namep))
  (declare (ignorable __function__))
  (or
     (symbol-value-equiv name (lift-symbol 'acl2-numberp))
     (symbol-value-equiv name (lift-symbol 'rationalp))
     (symbol-value-equiv name (lift-symbol 'integerp))
     (symbol-value-equiv name (lift-symbol 'complex-rationalp))
     (symbol-value-equiv name (lift-symbol 'complex))
     (symbol-value-equiv name (lift-symbol 'realpart))
     (symbol-value-equiv name (lift-symbol 'imagpart))
     (symbol-value-equiv name (lift-symbol 'numerator))
     (symbol-value-equiv name (lift-symbol 'denominator))
     (symbol-value-equiv name (lift-symbol 'unary--))
     (symbol-value-equiv name (lift-symbol 'unary-/))
     (symbol-value-equiv name (lift-symbol 'binary-+))
     (symbol-value-equiv name (lift-symbol 'binary-*))
     (symbol-value-equiv name (lift-symbol '<))
     (symbol-value-equiv name (lift-symbol 'characterp))
     (symbol-value-equiv name (lift-symbol 'char-code))
     (symbol-value-equiv name (lift-symbol 'code-char))
     (symbol-value-equiv name (lift-symbol 'stringp))
     (symbol-value-equiv name (lift-symbol 'coerce))
     (symbol-value-equiv name (lift-symbol 'symbolp))
     (symbol-value-equiv name (lift-symbol 'symbol-package-name))
     (symbol-value-equiv name (lift-symbol 'symbol-name))
     (symbol-value-equiv name
                         (lift-symbol 'intern-in-package-of-symbol))
     (symbol-value-equiv name (lift-symbol 'consp))
     (symbol-value-equiv name (lift-symbol 'cons))
     (symbol-value-equiv name (lift-symbol 'car))
     (symbol-value-equiv name (lift-symbol 'cdr))
     (symbol-value-equiv name (lift-symbol 'pkg-imports))
     (symbol-value-equiv name (lift-symbol 'pkg-witness))
     (symbol-value-equiv name (lift-symbol 'equal))
     (symbol-value-equiv name (lift-symbol 'if))
     (symbol-value-equiv name (lift-symbol 'acl2::bad-atom<=)))))

Theorem: booleanp-of-primitive-function-namep

(defthm booleanp-of-primitive-function-namep
  (b* ((yes/no (primitive-function-namep name)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: primitive-function-namep-of-symbol-value-fix-name

(defthm primitive-function-namep-of-symbol-value-fix-name
  (equal (primitive-function-namep (symbol-value-fix name))
         (primitive-function-namep name)))

Theorem: primitive-function-namep-symbol-value-equiv-congruence-on-name

(defthm
     primitive-function-namep-symbol-value-equiv-congruence-on-name
  (implies (symbol-value-equiv name name-equiv)
           (equal (primitive-function-namep name)
                  (primitive-function-namep name-equiv)))
  :rule-classes :congruence)