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• Bip32-key-tree

Bip32-key-tree->root-depth

Get the root-depth field from a bip32-key-tree.

Signature

(bip32-key-tree->root-depth x) → root-depth

Arguments

x — Guard (bip32-key-treep x).

Returns

root-depth — Type (bytep root-depth).

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

Definitions and Theorems

Function: bip32-key-tree->root-depth$inline

(defun bip32-key-tree->root-depth$inline (x)
  (declare (xargs :guard (bip32-key-treep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'bip32-key-tree->root-depth))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (byte-fix (std::da-nth 1 x)))
         :exec (std::da-nth 1 x))))

Theorem: bytep-of-bip32-key-tree->root-depth

(defthm bytep-of-bip32-key-tree->root-depth
  (b* ((root-depth (bip32-key-tree->root-depth$inline x)))
    (bytep root-depth))
  :rule-classes :rewrite)

Theorem: bip32-key-tree->root-depth$inline-of-bip32-key-tree-fix-x

(defthm bip32-key-tree->root-depth$inline-of-bip32-key-tree-fix-x
  (equal (bip32-key-tree->root-depth$inline (bip32-key-tree-fix x))
         (bip32-key-tree->root-depth$inline x)))

Theorem: bip32-key-tree->root-depth$inline-bip32-key-tree-equiv-congruence-on-x

(defthm
 bip32-key-tree->root-depth$inline-bip32-key-tree-equiv-congruence-on-x
 (implies (bip32-key-tree-equiv x x-equiv)
          (equal (bip32-key-tree->root-depth$inline x)
                 (bip32-key-tree->root-depth$inline x-equiv)))
 :rule-classes :congruence)