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• Vl-casestmt-sizes-agreep

Vl-casestmt-matchexpr-sizes-agreep

Signature

(vl-casestmt-matchexpr-sizes-agreep test match-exprs) → *

Arguments

test — Guard (vl-expr-p test).

match-exprs — Guard (vl-exprlist-p match-exprs).

Definitions and Theorems

Function: vl-casestmt-matchexpr-sizes-agreep

(defun vl-casestmt-matchexpr-sizes-agreep (test match-exprs)
 (declare (xargs :guard (and (vl-expr-p test)
                             (vl-exprlist-p match-exprs))))
 (let ((__function__ 'vl-casestmt-matchexpr-sizes-agreep))
  (declare (ignorable __function__))
  (b* (((when (atom match-exprs)) t)
       (expr1 (car match-exprs)))
   (and
     (vl-expr->finaltype expr1)
     (eql (vl-expr->finalwidth test)
          (vl-expr->finalwidth expr1))
     (vl-casestmt-matchexpr-sizes-agreep test (cdr match-exprs))))))

Theorem: vl-casestmt-matchexpr-sizes-agreep-when-atom

(defthm vl-casestmt-matchexpr-sizes-agreep-when-atom
  (implies (atom match-exprs)
           (vl-casestmt-matchexpr-sizes-agreep test match-exprs)))

Theorem: vl-casestmt-matchexpr-sizes-agreep-of-cons

(defthm vl-casestmt-matchexpr-sizes-agreep-of-cons
 (equal
  (vl-casestmt-matchexpr-sizes-agreep test (cons expr1 match-exprs))
  (and (vl-expr->finaltype expr1)
       (equal (vl-expr->finalwidth test)
              (vl-expr->finalwidth expr1))
       (vl-casestmt-matchexpr-sizes-agreep test match-exprs))))

Theorem: vl-casestmt-matchexpr-sizes-agreep-of-vl-expr-fix-test

(defthm vl-casestmt-matchexpr-sizes-agreep-of-vl-expr-fix-test
  (equal (vl-casestmt-matchexpr-sizes-agreep (vl-expr-fix test)
                                             match-exprs)
         (vl-casestmt-matchexpr-sizes-agreep test match-exprs)))

Theorem: vl-casestmt-matchexpr-sizes-agreep-vl-expr-equiv-congruence-on-test

(defthm
 vl-casestmt-matchexpr-sizes-agreep-vl-expr-equiv-congruence-on-test
 (implies
  (vl-expr-equiv test test-equiv)
  (equal
       (vl-casestmt-matchexpr-sizes-agreep test match-exprs)
       (vl-casestmt-matchexpr-sizes-agreep test-equiv match-exprs)))
 :rule-classes :congruence)

Theorem: vl-casestmt-matchexpr-sizes-agreep-of-vl-exprlist-fix-match-exprs

(defthm
  vl-casestmt-matchexpr-sizes-agreep-of-vl-exprlist-fix-match-exprs
  (equal (vl-casestmt-matchexpr-sizes-agreep
              test (vl-exprlist-fix match-exprs))
         (vl-casestmt-matchexpr-sizes-agreep test match-exprs)))

Theorem: vl-casestmt-matchexpr-sizes-agreep-vl-exprlist-equiv-congruence-on-match-exprs

(defthm
 vl-casestmt-matchexpr-sizes-agreep-vl-exprlist-equiv-congruence-on-match-exprs
 (implies
  (vl-exprlist-equiv match-exprs match-exprs-equiv)
  (equal
       (vl-casestmt-matchexpr-sizes-agreep test match-exprs)
       (vl-casestmt-matchexpr-sizes-agreep test match-exprs-equiv)))
 :rule-classes :congruence)