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Validator-state

Validator-state->last

Get the last field from a validator-state.

Signature
(validator-state->last x) → last
Arguments: x — Guard (validator-statep x).
Returns: last — Type (natp last).

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

Definitions and Theorems

Function: validator-state->last$inline

(defun validator-state->last$inline (x)
  (declare (xargs :guard (validator-statep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'validator-state->last))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (cdr (std::da-nth 4 x))))
         :exec (cdr (std::da-nth 4 x)))))

Theorem: natp-of-validator-state->last

(defthm natp-of-validator-state->last
  (b* ((last (validator-state->last$inline x)))
    (natp last))
  :rule-classes :rewrite)

Theorem: validator-state->last$inline-of-validator-state-fix-x

(defthm validator-state->last$inline-of-validator-state-fix-x
  (equal (validator-state->last$inline (validator-state-fix x))
         (validator-state->last$inline x)))

Theorem: validator-state->last$inline-validator-state-equiv-congruence-on-x

(defthm
 validator-state->last$inline-validator-state-equiv-congruence-on-x
 (implies (validator-state-equiv x x-equiv)
          (equal (validator-state->last$inline x)
                 (validator-state->last$inline x-equiv)))
 :rule-classes :congruence)