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• Preprocessor-states

Update-ppstate->lexemes-unread

Signature

(update-ppstate->lexemes-unread lexemes-unread ppstate) 
  → 
ppstate

Arguments

lexemes-unread — Guard (natp lexemes-unread).

Returns

ppstate — Type (ppstatep ppstate).

Definitions and Theorems

Function: update-ppstate->lexemes-unread

(defun update-ppstate->lexemes-unread (lexemes-unread ppstate)
  (declare (xargs :stobjs (ppstate)))
  (declare (xargs :guard (natp lexemes-unread)))
  (b* ((ppstate (ppstate-fix ppstate)))
    (raw-update-ppstate->lexemes-unread (nfix lexemes-unread)
                                        ppstate)))

Theorem: ppstatep-of-update-ppstate->lexemes-unread

(defthm ppstatep-of-update-ppstate->lexemes-unread
 (b* ((ppstate
           (update-ppstate->lexemes-unread lexemes-unread ppstate)))
   (ppstatep ppstate))
 :rule-classes :rewrite)

Theorem: update-ppstate->lexemes-unread-of-nfix-lexemes-unread

(defthm update-ppstate->lexemes-unread-of-nfix-lexemes-unread
  (equal (update-ppstate->lexemes-unread (nfix lexemes-unread)
                                         ppstate)
         (update-ppstate->lexemes-unread lexemes-unread ppstate)))

Theorem: update-ppstate->lexemes-unread-nat-equiv-congruence-on-lexemes-unread

(defthm
 update-ppstate->lexemes-unread-nat-equiv-congruence-on-lexemes-unread
 (implies
  (acl2::nat-equiv lexemes-unread lexemes-unread-equiv)
  (equal
     (update-ppstate->lexemes-unread lexemes-unread ppstate)
     (update-ppstate->lexemes-unread lexemes-unread-equiv ppstate)))
 :rule-classes :congruence)

Theorem: update-ppstate->lexemes-unread-of-ppstate-fix-ppstate

(defthm update-ppstate->lexemes-unread-of-ppstate-fix-ppstate
  (equal (update-ppstate->lexemes-unread
              lexemes-unread (ppstate-fix ppstate))
         (update-ppstate->lexemes-unread lexemes-unread ppstate)))

Theorem: update-ppstate->lexemes-unread-ppstate-equiv-congruence-on-ppstate

(defthm
 update-ppstate->lexemes-unread-ppstate-equiv-congruence-on-ppstate
 (implies
  (ppstate-equiv ppstate ppstate-equiv)
  (equal
     (update-ppstate->lexemes-unread lexemes-unread ppstate)
     (update-ppstate->lexemes-unread lexemes-unread ppstate-equiv)))
 :rule-classes :congruence)