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Fenv-option-some

Fenv-option-some->val

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

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

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

Definitions and Theorems

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

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

Theorem: fenvp-of-fenv-option-some->val

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

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

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

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

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

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

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