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• Caseelim

Vl-casestmt-sizes-agreep

Make sure all match expressions have been sized and that their sizes are compatible with the test expression.

Signature

(vl-casestmt-sizes-agreep test cases) → *

Arguments

test — Guard (vl-expr-p test).

cases — Guard (vl-caselist-p cases).

Definitions and Theorems

Function: vl-casestmt-sizes-agreep

(defun vl-casestmt-sizes-agreep (test cases)
  (declare (xargs :guard (and (vl-expr-p test)
                              (vl-caselist-p cases))))
  (let ((__function__ 'vl-casestmt-sizes-agreep))
    (declare (ignorable __function__))
    (b* ((cases (vl-caselist-fix cases))
         ((when (atom cases)) t)
         ((cons match-exprs ?body1) (car cases)))
      (and (vl-casestmt-matchexpr-sizes-agreep test match-exprs)
           (vl-casestmt-sizes-agreep test (cdr cases))))))

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

(defthm vl-casestmt-sizes-agreep-when-atom
  (implies (atom cases)
           (equal (vl-casestmt-sizes-agreep test cases)
                  t)))

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

(defthm vl-casestmt-sizes-agreep-of-cons
  (equal (vl-casestmt-sizes-agreep test (cons a cases))
         (if (atom a)
             (vl-casestmt-sizes-agreep test cases)
           (and (vl-casestmt-matchexpr-sizes-agreep test (car a))
                (vl-casestmt-sizes-agreep test cases)))))

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

(defthm vl-casestmt-sizes-agreep-of-vl-expr-fix-test
  (equal (vl-casestmt-sizes-agreep (vl-expr-fix test)
                                   cases)
         (vl-casestmt-sizes-agreep test cases)))

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

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

Theorem: vl-casestmt-sizes-agreep-of-vl-caselist-fix-cases

(defthm vl-casestmt-sizes-agreep-of-vl-caselist-fix-cases
  (equal (vl-casestmt-sizes-agreep test (vl-caselist-fix cases))
         (vl-casestmt-sizes-agreep test cases)))

Theorem: vl-casestmt-sizes-agreep-vl-caselist-equiv-congruence-on-cases

(defthm
     vl-casestmt-sizes-agreep-vl-caselist-equiv-congruence-on-cases
  (implies (vl-caselist-equiv cases cases-equiv)
           (equal (vl-casestmt-sizes-agreep test cases)
                  (vl-casestmt-sizes-agreep test cases-equiv)))
  :rule-classes :congruence)

Subtopics

Vl-casestmt-matchexpr-sizes-agreep