sealed trait PosWit extends Term with Subs[PosWit]
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Abstract Value Members
- abstract def newobj: PosWit with Subs[PosWit]
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
- Subs
- abstract def subs(x: Term, y: Term): PosWit with Subs[PosWit]
substitute x by y recursively in
this.substitute x by y recursively in
this.- Definition Classes
- Subs
- abstract val value: QField.LocalTerm
Concrete Value Members
- def +(that: PosWit): PosWitSum
- def :->[V <: Term with Subs[V]](that: V): Func[PosWit, V]
constructor for (pure) lambda functions, see lmbda
- def :~>[V <: Term with Subs[V]](that: V): FuncLike[PosWit, V]
constructor for (in general dependent) lambda functions, see lambda
- def <(that: PosWit): Boolean
- def <=(that: PosWit): Boolean
- def =:=(rhs: PosWit): IdentityTyp[PosWit]
equality type 'term = rhs'
equality type 'term = rhs'
- Implicit
- This member is added by an implicit conversion from PosWit toRichTerm[PosWit] performed by method RichTerm in provingground.HoTT.
- Definition Classes
- RichTerm
- def >(that: PosWit): Boolean
- def >=(that: PosWit): Boolean
- def compare(that: PosWit): Int
- def compareTo(that: PosWit): Int
- def dependsOn(that: Term): Boolean
returns whether
thisdepends onthatreturns whether
thisdepends onthat- Definition Classes
- Term
- def indepOf(that: Term): Boolean
returns whether
thisis independent ofthat.returns whether
thisis independent ofthat.- Definition Classes
- Term
- def refl: Refl[PosWit]
reflexivity term
refl : term = termreflexivity term
refl : term = term- Implicit
- This member is added by an implicit conversion from PosWit toRichTerm[PosWit] performed by method RichTerm in provingground.HoTT.
- Definition Classes
- RichTerm
- def replace(x: Term, y: Term): PosWit with Subs[PosWit]
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
- lazy val typ: Pos
the HoTT-type of the term
- def usesVar(t: Term): Boolean
returns whether the variable
tis used as a variable in a lambda definition.returns whether the variable
tis used as a variable in a lambda definition.- Definition Classes
- Term