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Proposals

Prop-set-all-author-p

Check if all the proposals in a set have a given author.

Definitions and Theorems

Theorem: prop-set-all-author-p-necc

(defthm prop-set-all-author-p-necc
  (implies (prop-set-all-author-p author props)
           (implies (in prop (proposal-set-fix props))
                    (equal (proposal->author prop)
                           (address-fix author)))))

Theorem: booleanp-of-prop-set-all-author-p

(defthm booleanp-of-prop-set-all-author-p
  (b* ((yes/no (prop-set-all-author-p author props)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: prop-set-all-author-p-of-address-fix-author

(defthm prop-set-all-author-p-of-address-fix-author
  (equal (prop-set-all-author-p (address-fix author)
                                props)
         (prop-set-all-author-p author props)))

Theorem: prop-set-all-author-p-address-equiv-congruence-on-author

(defthm prop-set-all-author-p-address-equiv-congruence-on-author
  (implies (address-equiv author author-equiv)
           (equal (prop-set-all-author-p author props)
                  (prop-set-all-author-p author-equiv props)))
  :rule-classes :congruence)

Theorem: prop-set-all-author-p-of-proposal-set-fix-props

(defthm prop-set-all-author-p-of-proposal-set-fix-props
  (equal (prop-set-all-author-p author (proposal-set-fix props))
         (prop-set-all-author-p author props)))

Theorem: prop-set-all-author-p-proposal-set-equiv-congruence-on-props

(defthm prop-set-all-author-p-proposal-set-equiv-congruence-on-props
  (implies (proposal-set-equiv props props-equiv)
           (equal (prop-set-all-author-p author props)
                  (prop-set-all-author-p author props-equiv)))
  :rule-classes :congruence)