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• Sv::vl-expr.lisp

Vl-datatype-syscall-remove-dims

Signature

(vl-datatype-syscall-remove-dims n type) → (mv err final-dim)

Arguments

n — Guard (natp n).

type — Guard (vl-datatype-p type).

Returns

err — Type (iff (vl-msg-p err) err).

final-dim — Type (implies (not err) (vl-dimension-p final-dim)).

Definitions and Theorems

Function: vl-datatype-syscall-remove-dims

(defun vl-datatype-syscall-remove-dims (n type)
  (declare (xargs :guard (and (natp n) (vl-datatype-p type))))
  (declare (xargs :guard (vl-datatype-resolved-p type)))
  (let ((__function__ 'vl-datatype-syscall-remove-dims))
    (declare (ignorable __function__))
    (b* (((mv err ?caveat new-type dim)
          (vl-datatype-remove-dim type))
         ((when err) (mv err nil))
         ((when (zp n)) (mv nil dim)))
      (vl-datatype-syscall-remove-dims (1- n)
                                       new-type))))

Theorem: return-type-of-vl-datatype-syscall-remove-dims.err

(defthm return-type-of-vl-datatype-syscall-remove-dims.err
  (b* (((mv ?err ?final-dim)
        (vl-datatype-syscall-remove-dims n type)))
    (iff (vl-msg-p err) err))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-datatype-syscall-remove-dims.final-dim

(defthm return-type-of-vl-datatype-syscall-remove-dims.final-dim
  (b* (((mv ?err ?final-dim)
        (vl-datatype-syscall-remove-dims n type)))
    (implies (not err)
             (vl-dimension-p final-dim)))
  :rule-classes :rewrite)

Theorem: vl-datatype-syscall-remove-dims-of-nfix-n

(defthm vl-datatype-syscall-remove-dims-of-nfix-n
  (equal (vl-datatype-syscall-remove-dims (nfix n)
                                          type)
         (vl-datatype-syscall-remove-dims n type)))

Theorem: vl-datatype-syscall-remove-dims-nat-equiv-congruence-on-n

(defthm vl-datatype-syscall-remove-dims-nat-equiv-congruence-on-n
  (implies (acl2::nat-equiv n n-equiv)
           (equal (vl-datatype-syscall-remove-dims n type)
                  (vl-datatype-syscall-remove-dims n-equiv type)))
  :rule-classes :congruence)

Theorem: vl-datatype-syscall-remove-dims-of-vl-datatype-fix-type

(defthm vl-datatype-syscall-remove-dims-of-vl-datatype-fix-type
  (equal (vl-datatype-syscall-remove-dims n (vl-datatype-fix type))
         (vl-datatype-syscall-remove-dims n type)))

Theorem: vl-datatype-syscall-remove-dims-vl-datatype-equiv-congruence-on-type

(defthm
 vl-datatype-syscall-remove-dims-vl-datatype-equiv-congruence-on-type
 (implies (vl-datatype-equiv type type-equiv)
          (equal (vl-datatype-syscall-remove-dims n type)
                 (vl-datatype-syscall-remove-dims n type-equiv)))
 :rule-classes :congruence)