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Valid-table

Valid-table->externals

Get the externals field from a valid-table.

Signature
(valid-table->externals x) → externals
Arguments: x — Guard (valid-tablep x).
Returns: externals — Type (valid-externalsp externals).

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

Definitions and Theorems

Function: valid-table->externals$inline

(defun valid-table->externals$inline (x)
  (declare (xargs :guard (valid-tablep x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (valid-externals-fix (cdr (std::da-nth 2 x))))
       :exec (cdr (std::da-nth 2 x))))

Theorem: valid-externalsp-of-valid-table->externals

(defthm valid-externalsp-of-valid-table->externals
  (b* ((externals (valid-table->externals$inline x)))
    (valid-externalsp externals))
  :rule-classes :rewrite)

Theorem: valid-table->externals$inline-of-valid-table-fix-x

(defthm valid-table->externals$inline-of-valid-table-fix-x
  (equal (valid-table->externals$inline (valid-table-fix x))
         (valid-table->externals$inline x)))

Theorem: valid-table->externals$inline-valid-table-equiv-congruence-on-x

(defthm
    valid-table->externals$inline-valid-table-equiv-congruence-on-x
  (implies (valid-table-equiv x x-equiv)
           (equal (valid-table->externals$inline x)
                  (valid-table->externals$inline x-equiv)))
  :rule-classes :congruence)