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• Committees

Committee-validator-stake

Stake of a validator with respect to a committee.

Signature

(committee-validator-stake val commtt) → stake

Arguments

val — Guard (addressp val).

commtt — Guard (committeep commtt).

Returns

stake — Type (natp stake).

The validator may or may not be a member of the committee. If it is not a member, we return 0; otherwise, we return its stake in the committee.

Definitions and Theorems

Function: committee-validator-stake

(defun committee-validator-stake (val commtt)
  (declare (xargs :guard (and (addressp val)
                              (committeep commtt))))
  (let ((__function__ 'committee-validator-stake))
    (declare (ignorable __function__))
    (if (in (address-fix val)
            (committee-members commtt))
        (committee-member-stake val commtt)
      0)))

Theorem: natp-of-committee-validator-stake

(defthm natp-of-committee-validator-stake
  (b* ((stake (committee-validator-stake val commtt)))
    (natp stake))
  :rule-classes :rewrite)

Theorem: committee-validator-stake-of-address-fix-val

(defthm committee-validator-stake-of-address-fix-val
  (equal (committee-validator-stake (address-fix val)
                                    commtt)
         (committee-validator-stake val commtt)))

Theorem: committee-validator-stake-address-equiv-congruence-on-val

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

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

(defthm committee-validator-stake-of-committee-fix-commtt
  (equal (committee-validator-stake val (committee-fix commtt))
         (committee-validator-stake val commtt)))

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

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