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• Committees

Committee-member-stake

Stake of a member of the committee.

Signature

(committee-member-stake member commtt) → stake

Arguments

member — Guard (addressp member).

commtt — Guard (committeep commtt).

Returns

stake — Type (posp stake).

We look up the member's address in the map.

Definitions and Theorems

Function: committee-member-stake

(defun committee-member-stake (member commtt)
 (declare (xargs :guard (and (addressp member)
                             (committeep commtt))))
 (declare (xargs :guard (in (address-fix member)
                            (committee-members commtt))))
 (let ((__function__ 'committee-member-stake))
   (declare (ignorable __function__))
   (pos-fix (omap::lookup (address-fix member)
                          (committee->members-with-stake commtt)))))

Theorem: posp-of-committee-member-stake

(defthm posp-of-committee-member-stake
  (b* ((stake (committee-member-stake member commtt)))
    (posp stake))
  :rule-classes (:rewrite :type-prescription))

Theorem: committee-member-stake-of-address-fix-member

(defthm committee-member-stake-of-address-fix-member
  (equal (committee-member-stake (address-fix member)
                                 commtt)
         (committee-member-stake member commtt)))

Theorem: committee-member-stake-address-equiv-congruence-on-member

(defthm committee-member-stake-address-equiv-congruence-on-member
  (implies (address-equiv member member-equiv)
           (equal (committee-member-stake member commtt)
                  (committee-member-stake member-equiv commtt)))
  :rule-classes :congruence)

Theorem: committee-member-stake-of-committee-fix-commtt

(defthm committee-member-stake-of-committee-fix-commtt
  (equal (committee-member-stake member (committee-fix commtt))
         (committee-member-stake member commtt)))

Theorem: committee-member-stake-committee-equiv-congruence-on-commtt

(defthm committee-member-stake-committee-equiv-congruence-on-commtt
  (implies (committee-equiv commtt commtt-equiv)
           (equal (committee-member-stake member commtt)
                  (committee-member-stake member commtt-equiv)))
  :rule-classes :congruence)