• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
    • Sv
      • Svex-stvs
      • Svex-decomposition-methodology
      • Sv-versus-esim
      • Svex-decomp
      • Svex-compose-dfs
      • Svex-compilation
      • Moddb
      • Svmods
      • Svstmt
      • Sv-tutorial
      • Expressions
        • Rewriting
        • Svex
        • Bit-blasting
        • Functions
        • 4vmask
        • Why-infinite-width
        • Svex-vars
        • Evaluation
          • Svex-xeval
          • Svex-mono-eval
          • Svex-eval
          • Svex-apply
          • Svex-env
            • Svex-env-p
            • Svex-env-reduce
            • Svex-envs-similar
            • Svex-envs-equivalent
            • Svex-env-fix
            • Svex-env-extract
              • Svex-env-extract-aux
            • Svex-env-lookup
            • Svex-env-acons
            • Svex-env-<<=
            • Svarlist-x-subst
            • Svex-env-equiv
            • Svex-env-boundp
            • Svarlist-x-env
            • Svex-env-fastlookup
          • Svex-alist-eval
          • Svar-boolmasks-lookup
          • Svex-s4eval
          • Svexlist-unquote
          • Svex-alist-eval-for-symbolic
          • Svexlist-eval
          • Svexlist-quotesp
          • Svar-boolmasks
          • Svexlist-s4eval
          • Svexlist-eval-for-symbolic
        • Values
      • Symbolic-test-vector
      • Vl-to-svex
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Svex-env-extract

Svex-env-extract-aux

Signature

(svex-env-extract-aux keys env) → env1

Arguments

keys — Guard (svarlist-p keys).

env — Guard (svex-env-p env).

Returns

env1 — Type (svex-env-p env1).

Definitions and Theorems

Function: svex-env-extract-aux

(defun svex-env-extract-aux (keys env)
  (declare (xargs :guard (and (svarlist-p keys)
                              (svex-env-p env))))
  (let ((__function__ 'svex-env-extract-aux))
    (declare (ignorable __function__))
    (if (atom keys)
        nil
      (cons (cons (svar-fix (car keys))
                  (svex-env-fastlookup (car keys) env))
            (svex-env-extract-aux (cdr keys)
                                  env)))))

Theorem: svex-env-p-of-svex-env-extract-aux

(defthm svex-env-p-of-svex-env-extract-aux
  (b* ((env1 (svex-env-extract-aux keys env)))
    (svex-env-p env1))
  :rule-classes :rewrite)

Theorem: svex-env-extract-aux-of-svarlist-fix-keys

(defthm svex-env-extract-aux-of-svarlist-fix-keys
  (equal (svex-env-extract-aux (svarlist-fix keys)
                               env)
         (svex-env-extract-aux keys env)))

Theorem: svex-env-extract-aux-svarlist-equiv-congruence-on-keys

(defthm svex-env-extract-aux-svarlist-equiv-congruence-on-keys
  (implies (svarlist-equiv keys keys-equiv)
           (equal (svex-env-extract-aux keys env)
                  (svex-env-extract-aux keys-equiv env)))
  :rule-classes :congruence)

Theorem: svex-env-extract-aux-of-svex-env-fix-env

(defthm svex-env-extract-aux-of-svex-env-fix-env
  (equal (svex-env-extract-aux keys (svex-env-fix env))
         (svex-env-extract-aux keys env)))

Theorem: svex-env-extract-aux-svex-env-equiv-congruence-on-env

(defthm svex-env-extract-aux-svex-env-equiv-congruence-on-env
  (implies (svex-env-equiv env env-equiv)
           (equal (svex-env-extract-aux keys env)
                  (svex-env-extract-aux keys env-equiv)))
  :rule-classes :congruence)