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  • Abstract-syntax-operations

Declor/dirdeclor->ident

Identifier of a declarator or direct declarator.

A (direct) declarator always contains an identifier at its core. This function returns it, together with a companion function that operates on direct declarators, which is mutually recursive with the one for declarators.

Definitions and Theorems

Function: declor->ident

(defun declor->ident (declor)
  (declare (xargs :guard (declorp declor)))
  (dirdeclor->ident (declor->direct declor)))

Function: dirdeclor->ident

(defun dirdeclor->ident (dirdeclor)
  (declare (xargs :guard (dirdeclorp dirdeclor)))
  (dirdeclor-case
       dirdeclor
       :ident dirdeclor.ident
       :paren (declor->ident dirdeclor.inner)
       :array (dirdeclor->ident dirdeclor.declor)
       :array-static1 (dirdeclor->ident dirdeclor.declor)
       :array-static2 (dirdeclor->ident dirdeclor.declor)
       :array-star (dirdeclor->ident dirdeclor.declor)
       :function-params (dirdeclor->ident dirdeclor.declor)
       :function-names (dirdeclor->ident dirdeclor.declor)))

Theorem: return-type-of-declor->ident.ident

(defthm return-type-of-declor->ident.ident
  (b* ((?ident (declor->ident declor)))
    (identp ident))
  :rule-classes :rewrite)

Theorem: return-type-of-dirdeclor->ident.ident

(defthm return-type-of-dirdeclor->ident.ident
  (b* ((?ident (dirdeclor->ident dirdeclor)))
    (identp ident))
  :rule-classes :rewrite)

Theorem: declor->ident-of-declor-fix-declor

(defthm declor->ident-of-declor-fix-declor
  (equal (declor->ident (declor-fix declor))
         (declor->ident declor)))

Theorem: dirdeclor->ident-of-dirdeclor-fix-dirdeclor

(defthm dirdeclor->ident-of-dirdeclor-fix-dirdeclor
  (equal (dirdeclor->ident (dirdeclor-fix dirdeclor))
         (dirdeclor->ident dirdeclor)))

Theorem: declor->ident-declor-equiv-congruence-on-declor

(defthm declor->ident-declor-equiv-congruence-on-declor
  (implies (declor-equiv declor declor-equiv)
           (equal (declor->ident declor)
                  (declor->ident declor-equiv)))
  :rule-classes :congruence)

Theorem: dirdeclor->ident-dirdeclor-equiv-congruence-on-dirdeclor

(defthm dirdeclor->ident-dirdeclor-equiv-congruence-on-dirdeclor
  (implies (dirdeclor-equiv dirdeclor dirdeclor-equiv)
           (equal (dirdeclor->ident dirdeclor)
                  (dirdeclor->ident dirdeclor-equiv)))
  :rule-classes :congruence)

Subtopics

Dirdeclor->ident
Identifier of a direct declarator.
Declor->ident
Identifier of a declarator.