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• Ipasir

Ipasir-bump-activity-vars$c

Signature

(ipasir-bump-activity-vars$c ipasir$c vars num-bumps) 
  → 
ipasir$c

Arguments

vars — Guard (nat-listp vars).

num-bumps — Guard (natp num-bumps).

Definitions and Theorems

Function: ipasir-bump-activity-vars$c

(defun ipasir-bump-activity-vars$c (ipasir$c vars num-bumps)
 (declare (xargs :stobjs (ipasir$c)))
 (declare (xargs :guard (and (nat-listp vars)
                             (natp num-bumps))))
 (declare
     (xargs :guard (not (eq (ipasir$a->status (ipasir-get ipasir$c))
                            :undef))))
 (let ((__function__ 'ipasir-bump-activity-vars$c))
   (declare (ignorable __function__))
   (ipasir-set (ipasir-bump-activity-vars$a (ipasir-get ipasir$c)
                                            vars num-bumps)
               ipasir$c)))

Theorem: ipasir-bump-activity-vars$c-of-nfix-num-bumps

(defthm ipasir-bump-activity-vars$c-of-nfix-num-bumps
 (equal (ipasir-bump-activity-vars$c ipasir$c vars (nfix num-bumps))
        (ipasir-bump-activity-vars$c ipasir$c vars num-bumps)))

Theorem: ipasir-bump-activity-vars$c-nat-equiv-congruence-on-num-bumps

(defthm
      ipasir-bump-activity-vars$c-nat-equiv-congruence-on-num-bumps
 (implies
  (nat-equiv num-bumps num-bumps-equiv)
  (equal
       (ipasir-bump-activity-vars$c ipasir$c vars num-bumps)
       (ipasir-bump-activity-vars$c ipasir$c vars num-bumps-equiv)))
 :rule-classes :congruence)