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Theorem

Make-theorem

Basic constructor macro for theorem structures.

Syntax

(make-theorem [:name <name>] 
              [:variables <variables>] 
              [:formula <formula>])

This is the usual way to construct theorem structures. It simply conses together a structure with the specified fields.

This macro generates a new theorem structure from scratch. See also change-theorem, which can "change" an existing structure, instead.

Definition

This is an ordinary make- macro introduced by fty::defprod.

Macro: make-theorem

(defmacro make-theorem (&rest args)
  (std::make-aggregate 'theorem
                       args '((:name) (:variables) (:formula))
                       'make-theorem
                       nil))

Function: theorem

(defun theorem (name variables formula)
  (declare (xargs :guard (and (identifierp name)
                              (typed-variable-listp variables)
                              (expressionp formula))))
  (declare (xargs :guard t))
  (let ((__function__ 'theorem))
    (declare (ignorable __function__))
    (b* ((name (mbe :logic (identifier-fix name)
                    :exec name))
         (variables (mbe :logic (typed-variable-list-fix variables)
                         :exec variables))
         (formula (mbe :logic (expression-fix formula)
                       :exec formula)))
      (list (cons 'name name)
            (cons 'variables variables)
            (cons 'formula formula)))))