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• Bip32-ext-key-pub

Bip32-ext-key-pub->get

Get the get field from a bip32-ext-key-pub.

Signature

(bip32-ext-key-pub->get x) → get

Arguments

x — Guard (bip32-ext-key-p x).

Returns

get — Type (bip32-ext-pub-key-p get).

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

Definitions and Theorems

Function: bip32-ext-key-pub->get$inline

(defun bip32-ext-key-pub->get$inline (x)
  (declare (xargs :guard (bip32-ext-key-p x)))
  (declare (xargs :guard (equal (bip32-ext-key-kind x) :pub)))
  (let ((__function__ 'bip32-ext-key-pub->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (bip32-ext-key-kind x) :pub)
                      x)))
           (bip32-ext-pub-key-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: bip32-ext-pub-key-p-of-bip32-ext-key-pub->get

(defthm bip32-ext-pub-key-p-of-bip32-ext-key-pub->get
  (b* ((get (bip32-ext-key-pub->get$inline x)))
    (bip32-ext-pub-key-p get))
  :rule-classes :rewrite)

Theorem: bip32-ext-key-pub->get$inline-of-bip32-ext-key-fix-x

(defthm bip32-ext-key-pub->get$inline-of-bip32-ext-key-fix-x
  (equal (bip32-ext-key-pub->get$inline (bip32-ext-key-fix x))
         (bip32-ext-key-pub->get$inline x)))

Theorem: bip32-ext-key-pub->get$inline-bip32-ext-key-equiv-congruence-on-x

(defthm
  bip32-ext-key-pub->get$inline-bip32-ext-key-equiv-congruence-on-x
  (implies (bip32-ext-key-equiv x x-equiv)
           (equal (bip32-ext-key-pub->get$inline x)
                  (bip32-ext-key-pub->get$inline x-equiv)))
  :rule-classes :congruence)

Theorem: bip32-ext-key-pub->get-when-wrong-kind

(defthm bip32-ext-key-pub->get-when-wrong-kind
  (implies (not (equal (bip32-ext-key-kind x) :pub))
           (equal (bip32-ext-key-pub->get x)
                  (bip32-ext-pub-key-fix nil))))