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Tterm-option-some

Tterm-option-some->val

Get the fty::val field from a tterm-option-some.

Signature
(tterm-option-some->val x) → fty::val
Arguments: x — Guard (tterm-optionp x).
Returns: fty::val — Type (ttermp fty::val).

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

Definitions and Theorems

Function: tterm-option-some->val$inline

(defun tterm-option-some->val$inline (x)
  (declare (xargs :guard (tterm-optionp x)))
  (declare (xargs :guard x))
  (let ((__function__ 'tterm-option-some->val))
    (declare (ignorable __function__))
    (mbe :logic (b* ((x (and x x))) (tterm-fix x))
         :exec x)))

Theorem: ttermp-of-tterm-option-some->val

(defthm ttermp-of-tterm-option-some->val
  (b* ((fty::val (tterm-option-some->val$inline x)))
    (ttermp fty::val))
  :rule-classes :rewrite)

Theorem: tterm-option-some->val$inline-of-tterm-option-fix-x

(defthm tterm-option-some->val$inline-of-tterm-option-fix-x
  (equal (tterm-option-some->val$inline (tterm-option-fix x))
         (tterm-option-some->val$inline x)))

Theorem: tterm-option-some->val$inline-tterm-option-equiv-congruence-on-x

(defthm
   tterm-option-some->val$inline-tterm-option-equiv-congruence-on-x
  (implies (tterm-option-equiv x x-equiv)
           (equal (tterm-option-some->val$inline x)
                  (tterm-option-some->val$inline x-equiv)))
  :rule-classes :congruence)

Theorem: tterm-option-some->val-when-wrong-kind

(defthm tterm-option-some->val-when-wrong-kind
  (implies (not x)
           (equal (tterm-option-some->val x)
                  (tterm-fix nil))))