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Fenv

Fenv->curve

Get the curve field from a fenv.

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

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

Definitions and Theorems

Function: fenv->curve$inline

(defun fenv->curve$inline (x)
  (declare (xargs :guard (fenvp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'fenv->curve))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (curve-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: curvep-of-fenv->curve

(defthm curvep-of-fenv->curve
  (b* ((curve (fenv->curve$inline x)))
    (curvep curve))
  :rule-classes :rewrite)

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

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

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

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