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Fenv

Fenv->constants

Get the constants field from a fenv.

Signature
(fenv->constants x) → constants
Arguments: x — Guard (fenvp x).
Returns: constants — Type (const-fenvp constants).

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

Definitions and Theorems

Function: fenv->constants$inline

(defun fenv->constants$inline (x)
  (declare (xargs :guard (fenvp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'fenv->constants))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (const-fenv-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: const-fenvp-of-fenv->constants

(defthm const-fenvp-of-fenv->constants
  (b* ((constants (fenv->constants$inline x)))
    (const-fenvp constants))
  :rule-classes :rewrite)

Theorem: fenv->constants$inline-of-fenv-fix-x

(defthm fenv->constants$inline-of-fenv-fix-x
  (equal (fenv->constants$inline (fenv-fix x))
         (fenv->constants$inline x)))

Theorem: fenv->constants$inline-fenv-equiv-congruence-on-x

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