• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Community
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
        • Command-error
        • Sign
        • Init-from-mnemonic
        • Command-error-message
        • Stat
        • Next-key
        • Init-from-entropy
        • Process-command
        • Transaction-message
        • Maybe-command-error
        • Maybe-stat
          • Maybe-stat-fix
          • Maybe-stat-case
          • Maybe-stat-equiv
          • Maybe-stat-some
            • Maybe-stat-some->val
            • Make-maybe-stat-some
            • Change-maybe-stat-some
          • Maybe-stat-none
          • Maybe-statp
        • Check-stat-file-present
        • Valid-key-path-p
        • String-to-byte-list
        • Load-stat
        • Mnemonic-message
        • Process-sign
        • Process-init-from-entropy
        • All-valid-key-paths-p
        • String-to-word
        • String-to-nat
        • Process-next-key
        • Wallet
        • Process-init-from-mnemonic
        • Check-stat-file-absent
        • Stat-wfp
        • Save-stat
        • Stat-addresses-bounded-p
        • Stat-all-valid-key-paths-p
        • Stat-priv-keys-p
        • Stat-root-depth-zero-p
        • Stat-path-prefix-in-tree-p
        • Crypto-hdwallet-executable
        • *stat-filepath*
        • *key-path-prefix*
        • *coin-type-index*
        • *purpose-index*
        • *external-chain-index*
        • *command-name-init-from-mnemonic*
        • *command-name-init-from-entropy*
        • *account-index*
        • *command-name-sign*
        • *command-name-next-key*
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • C
      • Soft
      • Bv
      • Imp-language
      • Ethereum
      • Event-macros
      • Java
      • Riscv
      • Bitcoin
      • Zcash
      • Yul
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
      • Number-theory
      • Axe
      • Lists-light
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Maybe-stat-some

Maybe-stat-some->val

Get the fty::val field from a maybe-stat-some.

Signature

(maybe-stat-some->val x) → fty::val

Arguments

x — Guard (maybe-statp x).

Returns

fty::val — Type (statp fty::val).

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

Definitions and Theorems

Function: maybe-stat-some->val$inline

(defun maybe-stat-some->val$inline (x)
  (declare (xargs :guard (maybe-statp x)))
  (declare (xargs :guard x))
  (let ((__function__ 'maybe-stat-some->val))
    (declare (ignorable __function__))
    (mbe :logic (b* ((x (and x x))) (stat-fix x))
         :exec x)))

Theorem: statp-of-maybe-stat-some->val

(defthm statp-of-maybe-stat-some->val
  (b* ((fty::val (maybe-stat-some->val$inline x)))
    (statp fty::val))
  :rule-classes :rewrite)

Theorem: maybe-stat-some->val$inline-of-maybe-stat-fix-x

(defthm maybe-stat-some->val$inline-of-maybe-stat-fix-x
  (equal (maybe-stat-some->val$inline (maybe-stat-fix x))
         (maybe-stat-some->val$inline x)))

Theorem: maybe-stat-some->val$inline-maybe-stat-equiv-congruence-on-x

(defthm maybe-stat-some->val$inline-maybe-stat-equiv-congruence-on-x
  (implies (maybe-stat-equiv x x-equiv)
           (equal (maybe-stat-some->val$inline x)
                  (maybe-stat-some->val$inline x-equiv)))
  :rule-classes :congruence)

Theorem: maybe-stat-some->val-when-wrong-kind

(defthm maybe-stat-some->val-when-wrong-kind
  (implies (not x)
           (equal (maybe-stat-some->val x)
                  (stat-fix nil))))