=:=
An instance of A =:= B witnesses that the types A and B are equal. It also acts as a A <:< B, but not a B <:< A (directly) due to restrictions on subclassing.
In case of any confusion over which method goes in what direction, all the "Co" methods (including apply) go from left to right in the type ("with" the type), and all the "Contra" methods go from right to left ("against" the type). E.g., apply turns a From into a To, and substituteContra replaces the Tos in a type with Froms. 
Type parameters
- From
- 
    a type which is proved equal to To
- To
- 
    a type which is proved equal to From
Attributes
- See also
- 
    <:< for expressing subtyping constraints 
- Example
- 
    An in-place variant of scala.collection.mutable.ArrayBuffer#transpose implicit class BufOps[A](private val buf: ArrayBuffer[A]) extends AnyVal { def inPlaceTranspose[E]()(implicit ev: A =:= ArrayBuffer[E]) = ??? // Because ArrayBuffer is invariant, we can't make do with just a A <:< ArrayBuffer[E] // Getting buffers *out* from buf would work, but adding them back *in* wouldn't. }
- Source
- typeConstraints.scala
- Graph
- 
    
- Supertypes
Members list
Value members
Abstract methods
Substitute To for From and From for To in the type F[To, From], given that F is a type constructor of two arguments.
Substitute To for From and From for To in the type F[To, From], given that F is a type constructor of two arguments. Essentially swaps To and From in ftf's type.
Equivalent in power to each of substituteCo and substituteContra.
This method is impossible to implement without throwing or otherwise "cheating" unless From = To, so it ensures that this really represents a type equality. 
Attributes
- Returns
- 
               ftf, but with a (potentially) different type
- Definition Classes
- Source
- typeConstraints.scala
Concrete methods
If From = To and To = C, then From = C (equality is transitive)
If From = To and To = C, then From = C (equality is transitive)
Attributes
- Source
- typeConstraints.scala
Coerce a From into a To.
Coerce a From into a To. This is guaranteed to be the identity function.
This method is often called implicitly as an implicit A =:= B doubles as an implicit view A => B.
Attributes
- Definition Classes
- Source
- typeConstraints.scala
If From = To and C = From, then C = To (equality is transitive)
If From = To and C = From, then C = To (equality is transitive)
Attributes
- Source
- typeConstraints.scala
If From = To then To = From (equality is symmetric)
Lift this evidence over any type constructor F.
Lift this evidence over any type constructor F.
Attributes
- Definition Classes
- Source
- typeConstraints.scala
Lift this evidence over the type constructor F, but flipped.
Lift this evidence over the type constructor F, but flipped.
Attributes
- Definition Classes
- Source
- typeConstraints.scala
Substitute the From in the type F[From], where F is any type constructor, for To.
Substitute the From in the type F[From], where F is any type constructor, for To.
Equivalent in power to each of substituteBoth and substituteContra.
This method is impossible to implement without throwing or otherwise "cheating" unless From = To, so it ensures that this really represents a type equality. 
Attributes
- Returns
- 
               ff, but with a (potentially) different type
- Definition Classes
- Source
- typeConstraints.scala
Substitute the To in the type F[To], where F is any type constructor, for From.
Substitute the To in the type F[To], where F is any type constructor, for From.
Equivalent in power to each of substituteBoth and substituteCo.
This method is impossible to implement without throwing or otherwise "cheating" unless From = To, so it ensures that this really represents a type equality. 
Attributes
- Returns
- 
               ft, but with a (potentially) different type
- Definition Classes
- Source
- typeConstraints.scala
Inherited methods
If From <: To and To <: C, then From <: C (subtyping is transitive)
If From <: To and To <: C, then From <: C (subtyping is transitive)
Attributes
- Inherited from:
- <:<
- Source
- typeConstraints.scala
Composes two instances of Function1 in a new Function1, with this function applied first.
Composes two instances of Function1 in a new Function1, with this function applied first. 
Type parameters
- A
- 
               the result type of function g
Value parameters
- g
- 
               a function R => A 
Attributes
- Returns
- 
               a new function fsuch thatf(x) == g(apply(x))
- Definition Classes
- Inherited from:
- <:<
- Source
- typeConstraints.scala
If From <: To and C <: From, then C <: To (subtyping is transitive)
If From <: To and C <: From, then C <: To (subtyping is transitive)
Attributes
- Inherited from:
- <:<
- Source
- typeConstraints.scala
Composes two instances of Function1 in a new Function1, with this function applied last.
Composes two instances of Function1 in a new Function1, with this function applied last. 
Type parameters
- A
- 
               the type to which function gcan be applied
Value parameters
- g
- 
               a function A => T1 
Attributes
- Returns
- 
               a new function fsuch thatf(x) == apply(g(x))
- Definition Classes
- Inherited from:
- <:<
- Source
- typeConstraints.scala
Returns a string representation of the object.
Returns a string representation of the object.
The default representation is platform dependent.
Attributes
- Returns
- 
               a string representation of the object. 
- Definition Classes
- Inherited from:
- Function1
- Source
- Function1.scala