• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Soft
      • Bv
      • Imp-language
      • Event-macros
      • C
      • Java
      • Bitcoin
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
        • Process-syntheto-toplevel-fn
        • Translation
        • Language
          • Static-semantics
            • Check-expression-fns
            • Subtypep
            • Match-type
            • Check-product-update-expression
            • Get-builtin-function-in/out/pre-post
            • Check-sum-update-expression
            • Check-sum-field-expression
            • Check-strict-binary-expression
            • Check-lt/le/gt/ge-expression
            • Check-eq/ne-expression
            • Check-div/rem-expression
            • Check-add/sub/mul-expression
            • Align-let-vars-values
            • Check-iff-expression
            • Check-function-definition-top/nontop
            • Check-sum-construct-expression
            • Check-rem-expression
            • Check-mul-expression
            • Check-sub-expression
            • Check-div-expression
            • Check-add-expression
            • Check-ne-expression
            • Check-lt-expression
            • Check-le-expression
            • Check-gt-expression
            • Check-ge-expression
            • Check-eq-expression
            • Check-function-specifier
            • Type-result
            • Check-product-construct-expression
            • Supremum-type
            • Check-call-expression
            • Check-product-field-expression
            • Check-function-definer
            • Make-subproof-obligations
            • Get-function-in/out/pre/post
            • Check-sum-test-expression
            • Match-field
            • Decompose-expression
            • Match-to-target
            • Check-unary-expression
            • Max-supertype
            • Match-type-list
            • Check-minus-expression
            • Check-type-definition
            • Check-not-expression
            • Check-type-product
            • Match-field-list
            • Check-type-subset
            • Check-type-definition-in-recursion
            • Align-let-vars-values-aux
            • Non-trivial-proof-obligation
            • Check-type-recursion
            • Check-function-specification
            • Check-toplevel
            • Supremum-type-list
            • Check-component-expression
            • Check-branch-list
            • Check-function-recursion
            • Check-function-definition
            • Binding
            • Check-function-header
            • Check-function-definition-list
            • Check-type-definition-list-in-recursion
            • Check-theorem
            • Check-nonstrict-binary-expression
            • Context-add-variables
            • Decompose-expression-aux
            • Check-alternative
            • Check-multi-expression
            • Check-type-sum
            • Check-type
            • Check-alternative-list
            • Context-add-condition
            • Check-type-definer
            • Check-transform
            • Check-variable
            • Check-transform-args
            • Check-toplevel-list
            • Context-add-condition-list
            • Check-if/when/unless-expression
            • Initializers-to-variable-substitution
            • Context-add-binding
            • Check-function-header-list
            • Context-add-toplevel
            • Ensure-single-type
            • Max-supertypes
            • Check-bind-expression
            • Check-type-list
            • Check-literal
            • Literal-type
            • Check-expression-list
            • Variable-context
            • Check-cond-expression
            • Check-branch
            • Args-without-defaults
            • Check-expression
            • *builtin-function-names*
            • Function-called-in
          • Abstract-syntax
          • Outcome
          • Abstract-syntax-operations
          • Outcome-list
          • Outcomes
        • Process-syntheto-toplevel
        • Shallow-embedding
      • File-io-light
      • Number-theory
      • Cryptography
      • Lists-light
      • Builtins
      • Axe
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Static-semantics

Context-add-variables

Add some variables to a context.

Signature

(context-add-variables var-ctxt ctxt) → new-ctxt

Arguments

var-ctxt — Guard (variable-contextp var-ctxt).

ctxt — Guard (contextp ctxt).

Returns

new-ctxt — Type (contextp new-ctxt).

The variables to be added are supplied as a variable context that is used to update the context's variable context. The update may override previous pairs: this is expected; it happens with let bindings.

Definitions and Theorems

Function: context-add-variables

(defun context-add-variables (var-ctxt ctxt)
 (declare (xargs :guard (and (variable-contextp var-ctxt)
                             (contextp ctxt))))
 (let ((__function__ 'context-add-variables))
   (declare (ignorable __function__))
   (b* ((old-var-ctxt (context->variables ctxt))
        (new-var-ctxt (omap::update* (variable-context-fix var-ctxt)
                                     old-var-ctxt)))
     (change-context ctxt
                     :variables new-var-ctxt))))

Theorem: contextp-of-context-add-variables

(defthm contextp-of-context-add-variables
  (b* ((new-ctxt (context-add-variables var-ctxt ctxt)))
    (contextp new-ctxt))
  :rule-classes :rewrite)

Theorem: context->types-of-context-add-variables

(defthm context->types-of-context-add-variables
  (b* ((?new-ctxt (context-add-variables var-ctxt ctxt)))
    (equal (context->types new-ctxt)
           (context->types ctxt))))

Theorem: context-add-variables-of-variable-context-fix-var-ctxt

(defthm context-add-variables-of-variable-context-fix-var-ctxt
  (equal (context-add-variables (variable-context-fix var-ctxt)
                                ctxt)
         (context-add-variables var-ctxt ctxt)))

Theorem: context-add-variables-variable-context-equiv-congruence-on-var-ctxt

(defthm
 context-add-variables-variable-context-equiv-congruence-on-var-ctxt
 (implies (variable-context-equiv var-ctxt var-ctxt-equiv)
          (equal (context-add-variables var-ctxt ctxt)
                 (context-add-variables var-ctxt-equiv ctxt)))
 :rule-classes :congruence)

Theorem: context-add-variables-of-context-fix-ctxt

(defthm context-add-variables-of-context-fix-ctxt
  (equal (context-add-variables var-ctxt (context-fix ctxt))
         (context-add-variables var-ctxt ctxt)))

Theorem: context-add-variables-context-equiv-congruence-on-ctxt

(defthm context-add-variables-context-equiv-congruence-on-ctxt
  (implies (context-equiv ctxt ctxt-equiv)
           (equal (context-add-variables var-ctxt ctxt)
                  (context-add-variables var-ctxt ctxt-equiv)))
  :rule-classes :congruence)