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Tyname

Tyname->info

Get the info field from a tyname.

Signature
(tyname->info x) → info
Arguments: x — Guard (tynamep x).
Returns: info — Type (acl2::any-p info).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: tyname->info$inline

(defun tyname->info$inline (x)
  (declare (xargs :guard (tynamep x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (identity (cdr (cdr x))))
       :exec (cdr (cdr x))))

Theorem: any-p-of-tyname->info

(defthm any-p-of-tyname->info
  (b* ((info (tyname->info$inline x)))
    (acl2::any-p info))
  :rule-classes :rewrite)

Theorem: tyname->info$inline-of-tyname-fix-x

(defthm tyname->info$inline-of-tyname-fix-x
  (equal (tyname->info$inline (tyname-fix x))
         (tyname->info$inline x)))

Theorem: tyname->info$inline-tyname-equiv-congruence-on-x

(defthm tyname->info$inline-tyname-equiv-congruence-on-x
  (implies (tyname-equiv x x-equiv)
           (equal (tyname->info$inline x)
                  (tyname->info$inline x-equiv)))
  :rule-classes :congruence)