Packages

trait AtomicTerm extends Term with Subs[AtomicTerm]

Objects with simple substitution.

Linear Supertypes
Term, Subs[AtomicTerm], AnyRef, Any
Known Subclasses
Star
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. AtomicTerm
  2. Term
  3. Subs
  4. AnyRef
  5. Any
Implicitly
  1. by RichTerm
  2. by any2stringadd
  3. by StringFormat
  4. by Ensuring
  5. by ArrowAssoc
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. Protected

Abstract Value Members

  1. abstract val typ: Typ[U] forSome {type U >: AtomicTerm.this.type <: Term with Subs[U]}

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    Term

Concrete Value Members

  1. def :->[V <: Term with Subs[V]](that: V): Func[AtomicTerm, V]

    constructor for (pure) lambda functions, see lmbda

    constructor for (pure) lambda functions, see lmbda

    Implicit
    This member is added by an implicit conversion from AtomicTerm toRichTerm[AtomicTerm] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  2. def :~>[V <: Term with Subs[V]](that: V): FuncLike[AtomicTerm, V]

    constructor for (in general dependent) lambda functions, see lambda

    constructor for (in general dependent) lambda functions, see lambda

    Implicit
    This member is added by an implicit conversion from AtomicTerm toRichTerm[AtomicTerm] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  3. def =:=(rhs: AtomicTerm): IdentityTyp[AtomicTerm]

    equality type 'term = rhs'

    equality type 'term = rhs'

    Implicit
    This member is added by an implicit conversion from AtomicTerm toRichTerm[AtomicTerm] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  4. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  5. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  6. def newobj: AtomicTerm

    A new object with the same type, to be used in place of a variable to avoid name clashes.

    A new object with the same type, to be used in place of a variable to avoid name clashes. Should throw exception when invoked for constants.

    Definition Classes
    AtomicTerm → Subs
  7. def refl: Refl[AtomicTerm]

    reflexivity term refl : term = term

    reflexivity term refl : term = term

    Implicit
    This member is added by an implicit conversion from AtomicTerm toRichTerm[AtomicTerm] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  8. def replace(x: Term, y: Term): AtomicTerm with Subs[AtomicTerm]

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    Definition Classes
    Subs
  9. def subs(x: Term, y: Term): AtomicTerm

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    AtomicTerm → Subs
  10. def usesVar(t: Term): Boolean

    returns whether the variable t is used as a variable in a lambda definition.

    returns whether the variable t is used as a variable in a lambda definition.

    Definition Classes
    Term