• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Community
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • C
        • Syntax-for-tools
          • Formalized-subset
          • Mapping-to-language-definition
          • Input-files
          • Compilation-database
          • Printer
          • Output-files
          • Abstract-syntax-operations
          • Implementation-environments
          • Abstract-syntax
            • Abstract-syntax-trees
              • Expr
              • Type-spec
              • Exprs/decls/stmts
              • Binop
              • Stmt
              • Unop
              • Amb-expr/tyname
              • Dirdeclor
              • Asm-stmt
              • Dec/oct/hex-const
              • Simple-escape
              • Fsuffix
              • Attrib
              • Ident
              • Amb-decl/stmt
              • Dirabsdeclor
              • Type-qual
              • Decl-spec
              • Fundef
              • Struct-declon
              • Asm-name-spec
              • Amb-declor/absdeclor
              • Struni-spec
              • Param-declor
              • Declor
              • Stor-spec
              • Transunit-ensemble
              • Initdeclor
              • Absdeclor
              • Tyname
              • Keyword-uscores
              • Label
              • Align-spec
              • Expr-option
              • Spec/qual
                • Spec/qual-case
                • Spec/qual-p
                • Spec/qual-equiv
                • Spec/qual-typespec
                • Spec/qual-typequal
                • Spec/qual-attrib
                • Spec/qual-align
                  • Spec/qual-align->spec
                  • Make-spec/qual-align
                  • Change-spec/qual-align
                • Spec/qual-kind
                • Spec/qual-fix
                • Spec/qual-count
              • Lsuffix
              • Hex-frac-const
              • Desiniter
              • Param-declon
              • Iconst
              • Dirabsdeclor-option
              • Dec-frac-const
              • Dec-core-fconst
              • Comp-stmt
              • Extdecl
              • Const-expr-option
              • Amb?-declor/absdeclor
              • Isuffix
              • Hex-core-fconst
              • Attrib-spec
              • Struct-declor
              • Escape
              • Decl
              • Amb?-expr/tyname
              • Initer
              • Ident-option
              • Bin-expo
              • Absdeclor-option
              • Statassert
              • Member-designor
              • Initer-option
              • Enum-spec
              • Declor-option
              • Const
              • Block-item
              • Hex-quad
              • Eprefix
              • Const-expr
              • Oct-escape
              • Inc/dec-op
              • Fun-spec
              • Dec-expo
              • Cprefix-option
              • Asm-name-spec-option
              • Amb?-decl/stmt
              • S-char
              • Isuffix-option
              • Genassoc
              • Fsuffix-option
              • Fconst
              • Eprefix-option
              • Dec-expo-option
              • Cprefix
              • C-char
              • Type-spec-option
              • Sign-option
              • Sign
              • Q-char
              • Iconst-option
              • H-char
              • Fundef-option
              • Asm-output
              • Asm-input
              • Designor
              • Const-option
              • Usuffix
              • Univ-char-name
              • Hprefix
              • Enumer
              • Attrib-name
              • Transunit
              • Asm-qual
              • Typequal/attribspec
              • Stringlit
              • Dec-expo-prefix
              • Bin-expo-prefix
              • Header-name
              • Cconst
              • Expr/tyname
              • Decl/stmt
              • Declor/absdeclor
              • Asm-clobber
              • Typequal/attribspec-list
              • Decl-spec-list
              • Stringlit-list
              • Spec/qual-list
              • Inc/dec-op-list
              • Desiniter-list
              • Attrib-spec-list
              • S-char-list
              • Q-char-list
              • Param-declon-list
              • H-char-list
              • Decl-list
              • C-char-list
              • Typequal/attribspec-list-list
              • Struct-declor-list
              • Struct-declon-list
              • Initdeclor-list
              • Genassoc-list
              • Extdecl-list
              • Block-item-list
              • Enumer-list
              • Ident-list
              • Filepath-transunit-map
              • Expr-list
              • Asm-qual-list
              • Asm-output-list
              • Asm-input-list
              • Asm-clobber-list
              • Type-spec-list
              • Stor-spec-list
              • Ident-set
              • Ident-option-set
              • Ident-list-list
              • Eprefix-option-list
              • Designor-list
              • Attrib-list
            • Abstract-syntax-irrelevants
            • Type-specifier-lists
            • Ascii-identifiers
            • Abstraction-mapping
            • Standard
            • Storage-specifier-lists
            • Code-ensembles
            • Purity
            • Make-self-code-ensemble
          • Concrete-syntax
          • Disambiguation
          • Validation
          • Gcc-builtins
          • Preprocessing
          • Parsing
        • Atc
        • Transformation-tools
        • Language
        • Representation
        • Insertion-sort
        • Pack
      • 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

• Spec/qual-align

Spec/qual-align->spec

Get the spec field from a spec/qual-align.

Signature

(spec/qual-align->spec x) → spec

Arguments

x — Guard (spec/qual-p x).

Returns

spec — Type (align-specp spec).

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

Definitions and Theorems

Function: spec/qual-align->spec$inline

(defun spec/qual-align->spec$inline (x)
  (declare (xargs :guard (spec/qual-p x)))
  (declare (xargs :guard (equal (spec/qual-kind x) :align)))
  (mbe :logic
       (b* ((x (and (equal (spec/qual-kind x) :align)
                    x)))
         (align-spec-fix (cdr x)))
       :exec (cdr x)))

Theorem: align-specp-of-spec/qual-align->spec

(defthm align-specp-of-spec/qual-align->spec
  (b* ((spec (spec/qual-align->spec$inline x)))
    (align-specp spec))
  :rule-classes :rewrite)

Theorem: spec/qual-align->spec$inline-of-spec/qual-fix-x

(defthm spec/qual-align->spec$inline-of-spec/qual-fix-x
  (equal (spec/qual-align->spec$inline (spec/qual-fix x))
         (spec/qual-align->spec$inline x)))

Theorem: spec/qual-align->spec$inline-spec/qual-equiv-congruence-on-x

(defthm spec/qual-align->spec$inline-spec/qual-equiv-congruence-on-x
  (implies (spec/qual-equiv x x-equiv)
           (equal (spec/qual-align->spec$inline x)
                  (spec/qual-align->spec$inline x-equiv)))
  :rule-classes :congruence)

Theorem: spec/qual-align->spec-when-wrong-kind

(defthm spec/qual-align->spec-when-wrong-kind
  (implies (not (equal (spec/qual-kind x) :align))
           (equal (spec/qual-align->spec x)
                  (align-spec-fix nil))))