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Denv

Denv->curve

Get the curve field from a denv.

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

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

Definitions and Theorems

Function: denv->curve$inline

(defun denv->curve$inline (x)
  (declare (xargs :guard (denvp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'denv->curve))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (curve-fix (cdr (std::da-nth 4 (cdr x)))))
         :exec (cdr (std::da-nth 4 (cdr x))))))

Theorem: curvep-of-denv->curve

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

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

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

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

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