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• Fresh-ident-utility

Transunit-ensemble-fresh-ident

Signature

(transunit-ensemble-fresh-ident ident 
                                transunits &key (number-prefix '"_") 
                                (number-suffix '"")) 
 
  → 
ident$

Arguments

ident — Guard (identp ident).

transunits — Guard (transunit-ensemblep transunits).

number-prefix — Guard (stringp number-prefix).

number-suffix — Guard (stringp number-suffix).

Returns

ident$ — Type (identp ident$).

Definitions and Theorems

Function: transunit-ensemble-fresh-ident-fn

(defun transunit-ensemble-fresh-ident-fn
       (ident transunits number-prefix number-suffix)
  (declare (xargs :guard (and (identp ident)
                              (transunit-ensemblep transunits)
                              (stringp number-prefix)
                              (stringp number-suffix))))
  (fresh-ident ident
               (transunit-ensemble-collect-idents transunits)
               :number-prefix number-prefix
               :number-suffix number-suffix))

Theorem: identp-of-transunit-ensemble-fresh-ident

(defthm identp-of-transunit-ensemble-fresh-ident
  (b* ((ident$ (transunit-ensemble-fresh-ident-fn
                    ident transunits
                    number-prefix number-suffix)))
    (identp ident$))
  :rule-classes :rewrite)

Theorem: transunit-ensemble-fresh-ident-fn-of-ident-fix-ident

(defthm transunit-ensemble-fresh-ident-fn-of-ident-fix-ident
 (equal
   (transunit-ensemble-fresh-ident-fn
        (ident-fix ident)
        transunits number-prefix number-suffix)
   (transunit-ensemble-fresh-ident-fn ident transunits
                                      number-prefix number-suffix)))

Theorem: transunit-ensemble-fresh-ident-fn-ident-equiv-congruence-on-ident

(defthm
  transunit-ensemble-fresh-ident-fn-ident-equiv-congruence-on-ident
 (implies
  (c$::ident-equiv ident ident-equiv)
  (equal
   (transunit-ensemble-fresh-ident-fn
        ident
        transunits number-prefix number-suffix)
   (transunit-ensemble-fresh-ident-fn ident-equiv transunits
                                      number-prefix number-suffix)))
 :rule-classes :congruence)

Theorem: transunit-ensemble-fresh-ident-fn-of-transunit-ensemble-fix-transunits

(defthm
 transunit-ensemble-fresh-ident-fn-of-transunit-ensemble-fix-transunits
 (equal
   (transunit-ensemble-fresh-ident-fn
        ident
        (c$::transunit-ensemble-fix transunits)
        number-prefix number-suffix)
   (transunit-ensemble-fresh-ident-fn ident transunits
                                      number-prefix number-suffix)))

Theorem: transunit-ensemble-fresh-ident-fn-transunit-ensemble-equiv-congruence-on-transunits

(defthm
 transunit-ensemble-fresh-ident-fn-transunit-ensemble-equiv-congruence-on-transunits
 (implies
  (c$::transunit-ensemble-equiv transunits transunits-equiv)
  (equal
   (transunit-ensemble-fresh-ident-fn
        ident
        transunits number-prefix number-suffix)
   (transunit-ensemble-fresh-ident-fn ident transunits-equiv
                                      number-prefix number-suffix)))
 :rule-classes :congruence)

Theorem: transunit-ensemble-fresh-ident-fn-of-str-fix-number-prefix

(defthm transunit-ensemble-fresh-ident-fn-of-str-fix-number-prefix
 (equal
   (transunit-ensemble-fresh-ident-fn
        ident
        transunits (acl2::str-fix number-prefix)
        number-suffix)
   (transunit-ensemble-fresh-ident-fn ident transunits
                                      number-prefix number-suffix)))

Theorem: transunit-ensemble-fresh-ident-fn-streqv-congruence-on-number-prefix

(defthm
 transunit-ensemble-fresh-ident-fn-streqv-congruence-on-number-prefix
 (implies (acl2::streqv number-prefix number-prefix-equiv)
          (equal (transunit-ensemble-fresh-ident-fn
                      ident
                      transunits number-prefix number-suffix)
                 (transunit-ensemble-fresh-ident-fn
                      ident transunits
                      number-prefix-equiv number-suffix)))
 :rule-classes :congruence)

Theorem: transunit-ensemble-fresh-ident-fn-of-str-fix-number-suffix

(defthm transunit-ensemble-fresh-ident-fn-of-str-fix-number-suffix
 (equal
   (transunit-ensemble-fresh-ident-fn ident transunits number-prefix
                                      (acl2::str-fix number-suffix))
   (transunit-ensemble-fresh-ident-fn ident transunits
                                      number-prefix number-suffix)))

Theorem: transunit-ensemble-fresh-ident-fn-streqv-congruence-on-number-suffix

(defthm
 transunit-ensemble-fresh-ident-fn-streqv-congruence-on-number-suffix
 (implies (acl2::streqv number-suffix number-suffix-equiv)
          (equal (transunit-ensemble-fresh-ident-fn
                      ident
                      transunits number-prefix number-suffix)
                 (transunit-ensemble-fresh-ident-fn
                      ident transunits
                      number-prefix number-suffix-equiv)))
 :rule-classes :congruence)