• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Community
  • Proof-automation
  • ACL2
  • Macro-libraries
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • Soft
      • C
        • Syntax-for-tools
        • Atc
          • Atc-implementation
            • Atc-abstract-syntax
            • Atc-pretty-printer
            • Atc-event-and-code-generation
            • Fty-pseudo-term-utilities
              • Fty-check-mv-let-call
              • Fty-check-lambda-call
              • Fty-check-if-call
              • Fty-remove-equal-formals-actuals
              • Fty-check-and-call
              • Fty-check-or-call
              • Fty-check-fn-call
              • Fty-check-not-call
              • Fty-check-list-call
              • Fty-fsublis-var-lst
              • Fty-if-to-if*
              • Fty-fsublis-var
            • Atc-term-recognizers
            • Atc-input-processing
            • Atc-shallow-embedding
            • Atc-process-inputs-and-gen-everything
            • Atc-table
            • Atc-fn
            • Atc-pretty-printing-options
            • Atc-types
            • Atc-macro-definition
          • Atc-tutorial
        • Language
        • Representation
        • Transformation-tools
        • Insertion-sort
        • Pack
      • Bv
      • Imp-language
      • Event-macros
      • Java
      • Bitcoin
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
      • Number-theory
      • Lists-light
      • Axe
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Fty-pseudo-term-utilities

Fty-check-mv-let-call

FTY version of check-mv-let-call.

Signature

(fty-check-mv-let-call term) 
  → 
(mv yes/no mv-var vars indices hides mv-term body-term)

Arguments

term — Guard (pseudo-termp term).

Returns

yes/no — Type (booleanp yes/no).

mv-var — Type (symbolp mv-var).

vars — Type (symbol-listp vars).

indices — Type (nat-listp indices).

hides — Type (boolean-listp hides).

mv-term — Type (pseudo-termp mv-term).

body-term — Type (pseudo-termp body-term).

Definitions and Theorems

Function: fty-check-mv-let-call

(defun fty-check-mv-let-call (term)
  (declare (xargs :guard (pseudo-termp term)))
  (let ((__function__ 'fty-check-mv-let-call))
    (declare (ignorable __function__))
    (check-mv-let-call (pseudo-term-fix term))))

Theorem: booleanp-of-fty-check-mv-let-call.yes/no

(defthm booleanp-of-fty-check-mv-let-call.yes/no
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: symbolp-of-fty-check-mv-let-call.mv-var

(defthm symbolp-of-fty-check-mv-let-call.mv-var
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (symbolp mv-var))
  :rule-classes :rewrite)

Theorem: symbol-listp-of-fty-check-mv-let-call.vars

(defthm symbol-listp-of-fty-check-mv-let-call.vars
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (symbol-listp vars))
  :rule-classes :rewrite)

Theorem: nat-listp-of-fty-check-mv-let-call.indices

(defthm nat-listp-of-fty-check-mv-let-call.indices
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (nat-listp indices))
  :rule-classes :rewrite)

Theorem: boolean-listp-of-fty-check-mv-let-call.hides

(defthm boolean-listp-of-fty-check-mv-let-call.hides
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (boolean-listp hides))
  :rule-classes :rewrite)

Theorem: pseudo-termp-of-fty-check-mv-let-call.mv-term

(defthm pseudo-termp-of-fty-check-mv-let-call.mv-term
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (pseudo-termp mv-term))
  :rule-classes :rewrite)

Theorem: pseudo-termp-of-fty-check-mv-let-call.body-term

(defthm pseudo-termp-of-fty-check-mv-let-call.body-term
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (pseudo-termp body-term))
  :rule-classes :rewrite)

Theorem: len-of-fty-check-mv-let-call.indices/vars

(defthm len-of-fty-check-mv-let-call.indices/vars
  (implies (and (pseudo-termp term))
           (b* (((mv ?yes/no ?mv-var ?vars
                     ?indices ?hides ?mv-term ?body-term)
                 (fty-check-mv-let-call term)))
             (implies yes/no
                      (equal (len indices) (len vars))))))

Theorem: len-of-fty-check-mv-let-call.hides/vars

(defthm len-of-fty-check-mv-let-call.hides/vars
  (implies (and (pseudo-termp term))
           (b* (((mv ?yes/no ?mv-var ?vars
                     ?indices ?hides ?mv-term ?body-term)
                 (fty-check-mv-let-call term)))
             (implies yes/no
                      (equal (len hides) (len vars))))))

Theorem: pseudo-term-count-of-check-mv-let-call.mv-term

(defthm pseudo-term-count-of-check-mv-let-call.mv-term
  (implies (pseudo-termp term)
           (b* (((mv yes/no & & & & mv-term &)
                 (check-mv-let-call term)))
             (implies yes/no
                      (< (pseudo-term-count mv-term)
                         (pseudo-term-count term)))))
  :rule-classes :linear)

Theorem: pseudo-term-count-of-fty-check-mv-let-call.mv-term

(defthm pseudo-term-count-of-fty-check-mv-let-call.mv-term
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (implies yes/no
             (< (pseudo-term-count mv-term)
                (pseudo-term-count term))))
  :rule-classes :linear)

Theorem: pseudo-term-count-of-check-mv-let-call.body-term

(defthm pseudo-term-count-of-check-mv-let-call.body-term
  (implies (pseudo-termp term)
           (b* (((mv yes/no & & & & & body-term)
                 (check-mv-let-call term)))
             (implies yes/no
                      (< (pseudo-term-count body-term)
                         (pseudo-term-count term)))))
  :rule-classes :linear)

Theorem: pseudo-term-count-of-fty-check-mv-let-call.body-term

(defthm pseudo-term-count-of-fty-check-mv-let-call.body-term
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (implies yes/no
             (< (pseudo-term-count body-term)
                (pseudo-term-count term))))
  :rule-classes :linear)

Theorem: pseudo-term-count-of-check-mv-let-call

(defthm pseudo-term-count-of-check-mv-let-call
  (implies (pseudo-termp term)
           (b* (((mv yes/no & & & & mv-term body-term)
                 (check-mv-let-call term)))
             (implies yes/no
                      (< (+ (pseudo-term-count mv-term)
                            (pseudo-term-count body-term))
                         (pseudo-term-count term)))))
  :rule-classes :linear)

Theorem: pseudo-term-count-if-fty-check-mv-let-call

(defthm pseudo-term-count-if-fty-check-mv-let-call
  (b* (((mv ?yes/no ?mv-var ?vars
            ?indices ?hides ?mv-term ?body-term)
        (fty-check-mv-let-call term)))
    (implies yes/no
             (b* (((mv yes/no & & & & mv-term body-term)
                   (fty-check-mv-let-call term)))
               (implies yes/no
                        (< (+ (pseudo-term-count mv-term)
                              (pseudo-term-count body-term))
                           (pseudo-term-count term))))))
  :rule-classes :linear)