• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
    • Apt
    • Zfc
    • Acre
    • Milawa
    • Smtlink
    • Abnf
    • Vwsim
    • Isar
    • Wp-gen
    • Dimacs-reader
    • Pfcs
    • Legacy-defrstobj
    • C
    • Proof-checker-array
    • Soft
    • Farray
    • Rp-rewriter
    • Instant-runoff-voting
    • Imp-language
    • Sidekick
    • Ethereum
    • Leftist-trees
    • Java
    • Riscv
    • Taspi
    • Bitcoin
    • Zcash
    • Des
    • X86isa
    • Sha-2
    • Yul
    • Proof-checker-itp13
    • Regex
    • ACL2-programming-language
    • Json
    • Jfkr
    • Equational
    • Cryptography
    • Axe
    • Poseidon
    • Where-do-i-place-my-book
    • Aleo
      • Aleobft
      • Aleovm
      • Leo
        • Grammar
        • Early-version
          • Json2ast
          • Testing
          • Definition
            • Flattening
            • Abstract-syntax
            • Dynamic-semantics
              • Execution
                • Exec-expressions/statements
                • Init-for-loop
                • Exec-file-main
                • Update-variable-value-in-scope-list
                • Step-for-loop
                • Update-variable-value-in-scope
                • Expr-value-to-value
                • Exec-binary
                • Exec-expression
                • Init-vcscope-dinfo-call
                • Value?+denv
                • Exec-statement
                • End-of-for-loop-p
                • Expr-value
                • Evalue+denv
                • Write-location
                • Read-location
                • Exec-for-loop-iterations
                • Update-variable-value
                • Exec-unary
                • Values+denv
                • Init-vcscope-dinfo-loop
                • Extend-denv-with-structdecl
                • Exec-var/const
                • Valuemap+denv
                • Namevalue+denv
                • Extend-denv-with-fundecl
                • Ensure-boolean
                • Int+denv
                  • Int+denv-fix
                  • Int+denv-equiv
                  • Make-int+denv
                  • Change-int+denv
                  • Int+denv->int
                  • Int+denv->denv
                  • Int+denv-p
                • Push-vcscope-dinfo
                • Extend-denv-with-topdecl-list
                • Exec-literal
                • Build-denv-from-file
                • Namevalue+denv-result
                • Extend-denv-with-topdecl
                • Evalue+denv-result
                • Value?+denv-result
                • Values+denv-result
                • Valuemap+denv-result
                • Int+denv-result
                • Push-call-dinfo
                • Exec-print
                • Pop-vcscope-dinfo
                • Exec-if
                • Exec-function
                • Pop-call-dinfo
                • Exec-statement-list
                • Exec-block
                • Exec-struct-init-list
                • Exec-struct-init
                • Exec-expression-list
              • Values
              • Dynamic-environments
              • Arithmetic-operations
              • Curve-parameterization
              • Shift-operations
              • Errors
              • Value-expressions
              • Locations
              • Input-execution
              • Edwards-bls12-generator
              • Equality-operations
              • Logical-operations
              • Program-execution
              • Ordering-operations
              • Bitwise-operations
              • Literal-evaluation
              • Type-maps-for-struct-components
              • Output-execution
              • Tuple-operations
              • Struct-operations
            • Compilation
            • Static-semantics
            • Concrete-syntax
    • Bigmems
    • Builtins
    • Execloader
    • Solidity
    • Paco
    • Concurrent-programs
    • Bls12-377-curves
  • Debugging
  • Community
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Int+denv

Int+denv->denv

Get the denv field from a int+denv.

Signature

(int+denv->denv x) → denv

Arguments

x — Guard (int+denv-p x).

Returns

denv — Type (denvp denv).

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

Definitions and Theorems

Function: int+denv->denv$inline

(defun int+denv->denv$inline (x)
  (declare (xargs :guard (int+denv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'int+denv->denv))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (denv-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: denvp-of-int+denv->denv

(defthm denvp-of-int+denv->denv
  (b* ((denv (int+denv->denv$inline x)))
    (denvp denv))
  :rule-classes :rewrite)

Theorem: int+denv->denv$inline-of-int+denv-fix-x

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

Theorem: int+denv->denv$inline-int+denv-equiv-congruence-on-x

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