Documentation

Lean.SubExpr

A position of a subexpression in an expression.

We use a simple encoding scheme for expression positions Pos: every Expr constructor has at most 3 direct expression children. Considering an expression's type to be one extra child as well, we can injectively map a path of childIdxs to a natural number by computing the value of the 4-ary representation 1 :: childIdxs, since n-ary representations without leading zeros are unique. Note that pos is initialized to 1 (case childIdxs == []).

See also SubExpr.

Equations
Instances For

    The coordinate 3 = maxChildren - 1 is reserved to denote the type of the expression.

    Equations
    Instances For

      The Pos representing the root subexpression.

      Equations
      Instances For
        Equations
        Instances For

          The coordinate deepest in the Pos.

          Equations
          Instances For
            Equations
            Instances For
              Equations
              • One or more equations did not get rendered due to their size.
              Instances For
                partial def Lean.SubExpr.Pos.foldl {α : Type} (f : αNatα) (init : α) (p : Lean.SubExpr.Pos) :
                α

                Fold over the position starting at the root and heading to the leaf

                partial def Lean.SubExpr.Pos.foldr {α : Type} (f : Natαα) (p : Lean.SubExpr.Pos) (init : α) :
                α

                Fold over the position starting at the leaf and heading to the root

                partial def Lean.SubExpr.Pos.foldlM {α : Type} [Inhabited α] {M : TypeType u_1} [Monad M] (f : αNatM α) (init : α) (p : Lean.SubExpr.Pos) :
                M α

                monad-fold over the position starting at the root and heading to the leaf

                partial def Lean.SubExpr.Pos.foldrM {α : Type} {M : TypeType u_1} [Monad M] (f : NatαM α) (p : Lean.SubExpr.Pos) (init : α) :
                M α

                monad-fold over the position starting at the leaf and finishing at the root.

                Equations
                Instances For

                  Returns true if pred is true for each coordinate in p.

                  Equations
                  Instances For

                    Creates a subexpression Pos from an array of 'coordinates'. Each coordinate is a number {0,1,2} expressing which child subexpression should be explored. The first coordinate in the array corresponds to the root of the expression tree.

                    Equations
                    Instances For

                      Decodes a subexpression Pos as a sequence of coordinates cs : Array Nat. See Pos.ofArray for details. cs[0] is the coordinate for the root expression.

                      Equations
                      Instances For
                        Equations
                        • p.pushBindingDomain = p.push 0
                        Instances For
                          Equations
                          • p.pushBindingBody = p.push 1
                          Instances For
                            Equations
                            • p.pushLetVarType = p.push 0
                            Instances For
                              Equations
                              • p.pushLetValue = p.push 1
                              Instances For
                                Equations
                                • p.pushLetBody = p.push 2
                                Instances For
                                  Equations
                                  • p.pushAppFn = p.push 0
                                  Instances For
                                    Equations
                                    • p.pushAppArg = p.push 1
                                    Instances For
                                      Equations
                                      • p.pushProj = p.push 0
                                      Instances For
                                        Equations
                                        Instances For
                                          Equations
                                          • p.toString = (fun (x : String) => "/" ++ x) ("/".intercalate (List.map toString p.toArray.toList))
                                          Instances For
                                            Equations
                                            Instances For
                                              Equations
                                              Instances For
                                                Equations
                                                structure Lean.SubExpr :

                                                A subexpression of some root expression. Both its value and its position within the root are stored.

                                                Instances For
                                                  Equations
                                                  Equations
                                                  Instances For

                                                    Returns true if the selected subexpression is the topmost one.

                                                    Equations
                                                    • s.isRoot = s.pos.isRoot
                                                    Instances For
                                                      @[reducible, inline]
                                                      abbrev Lean.SubExpr.PosMap (α : Type u) :

                                                      Map from subexpr positions to values.

                                                      Equations
                                                      Instances For
                                                        Equations
                                                        • { expr := Lean.Expr.forallE binderName binderType b binderInfo, pos := p }.bindingBody! = { expr := b, pos := p.pushBindingBody }
                                                        • { expr := Lean.Expr.lam binderName binderType b binderInfo, pos := p }.bindingBody! = { expr := b, pos := p.pushBindingBody }
                                                        • x.bindingBody! = panicWithPosWithDecl "Lean.SubExpr" "Lean.SubExpr.bindingBody!" 178 9 "subexpr is not a binder"
                                                        Instances For
                                                          Equations
                                                          • { expr := Lean.Expr.forallE binderName binderType b binderInfo, pos := p }.bindingDomain! = { expr := binderType, pos := p.pushBindingDomain }
                                                          • { expr := Lean.Expr.lam binderName binderType b binderInfo, pos := p }.bindingDomain! = { expr := binderType, pos := p.pushBindingDomain }
                                                          • x.bindingDomain! = panicWithPosWithDecl "Lean.SubExpr" "Lean.SubExpr.bindingDomain!" 183 9 "subexpr is not a binder"
                                                          Instances For

                                                            A location within a goal.

                                                            Instances For

                                                              A location within a goal state. It identifies a specific goal together with a GoalLocation within it.

                                                              Instances For

                                                                Same as Expr.traverseApp but also includes a SubExpr.Pos argument for tracking subexpression position.

                                                                Equations
                                                                Instances For