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• Mapping-to-language-definition

Ldm-struct-declon-list

Map a list of structure declarations to a list of structure declarations in the language definition.

Signature

(ldm-struct-declon-list structdeclons) 
  → 
(mv erp structdeclons1)

Arguments

structdeclons — Guard (struct-declon-listp structdeclons).

Returns

structdeclons1 — Type (c::struct-declon-listp structdeclons1).

Definitions and Theorems

Function: ldm-struct-declon-list

(defun ldm-struct-declon-list (structdeclons)
  (declare (xargs :guard (struct-declon-listp structdeclons)))
  (declare (xargs :guard (struct-declon-list-unambp structdeclons)))
  (let ((__function__ 'ldm-struct-declon-list))
    (declare (ignorable __function__))
    (b* (((reterr) nil)
         ((when (endp structdeclons))
          (retok nil))
         ((erp structdeclon1)
          (ldm-struct-declon (car structdeclons)))
         ((erp structdeclons1)
          (ldm-struct-declon-list (cdr structdeclons))))
      (retok (cons structdeclon1 structdeclons1)))))

Theorem: struct-declon-listp-of-ldm-struct-declon-list.structdeclons1

(defthm struct-declon-listp-of-ldm-struct-declon-list.structdeclons1
  (b* (((mv acl2::?erp ?structdeclons1)
        (ldm-struct-declon-list structdeclons)))
    (c::struct-declon-listp structdeclons1))
  :rule-classes :rewrite)

Theorem: ldm-struct-declon-list-ok-when-struct-declon-list-formalp

(defthm ldm-struct-declon-list-ok-when-struct-declon-list-formalp
  (implies (struct-declon-list-formalp structdeclons)
           (b* (((mv acl2::?erp ?structdeclons1)
                 (ldm-struct-declon-list structdeclons)))
             (not erp))))

Theorem: ldm-struct-declon-list-of-struct-declon-list-fix-structdeclons

(defthm
     ldm-struct-declon-list-of-struct-declon-list-fix-structdeclons
 (equal
     (ldm-struct-declon-list (struct-declon-list-fix structdeclons))
     (ldm-struct-declon-list structdeclons)))

Theorem: ldm-struct-declon-list-struct-declon-list-equiv-congruence-on-structdeclons

(defthm
 ldm-struct-declon-list-struct-declon-list-equiv-congruence-on-structdeclons
 (implies
      (struct-declon-list-equiv structdeclons structdeclons-equiv)
      (equal (ldm-struct-declon-list structdeclons)
             (ldm-struct-declon-list structdeclons-equiv)))
 :rule-classes :congruence)