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• Static-semantics

Context-add-toplevel

Add a toplevel object to context.

Signature

(context-add-toplevel new-top ctxt) → new-ctxt

Arguments

new-top — Guard (toplevelp new-top).

ctxt — Guard (contextp ctxt).

Returns

new-ctxt — Type (contextp new-ctxt).

Definitions and Theorems

Function: context-add-toplevel

(defun context-add-toplevel (new-top ctxt)
  (declare (xargs :guard (and (toplevelp new-top)
                              (contextp ctxt))))
  (let ((__function__ 'context-add-toplevel))
    (declare (ignorable __function__))
    (change-context ctxt
                    :tops (append (context->tops ctxt)
                                  (list new-top)))))

Theorem: contextp-of-context-add-toplevel

(defthm contextp-of-context-add-toplevel
  (b* ((new-ctxt (context-add-toplevel new-top ctxt)))
    (contextp new-ctxt))
  :rule-classes :rewrite)

Theorem: context-add-toplevel-of-toplevel-fix-new-top

(defthm context-add-toplevel-of-toplevel-fix-new-top
  (equal (context-add-toplevel (toplevel-fix new-top)
                               ctxt)
         (context-add-toplevel new-top ctxt)))

Theorem: context-add-toplevel-toplevel-equiv-congruence-on-new-top

(defthm context-add-toplevel-toplevel-equiv-congruence-on-new-top
  (implies (toplevel-equiv new-top new-top-equiv)
           (equal (context-add-toplevel new-top ctxt)
                  (context-add-toplevel new-top-equiv ctxt)))
  :rule-classes :congruence)

Theorem: context-add-toplevel-of-context-fix-ctxt

(defthm context-add-toplevel-of-context-fix-ctxt
  (equal (context-add-toplevel new-top (context-fix ctxt))
         (context-add-toplevel new-top ctxt)))

Theorem: context-add-toplevel-context-equiv-congruence-on-ctxt

(defthm context-add-toplevel-context-equiv-congruence-on-ctxt
  (implies (context-equiv ctxt ctxt-equiv)
           (equal (context-add-toplevel new-top ctxt)
                  (context-add-toplevel new-top ctxt-equiv)))
  :rule-classes :congruence)