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Mathlib.Tactic.FunProp.ToBatteries

funProp missing function from standard library #

Check if a can be obtained by removing elements from b.

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    def Mathlib.Meta.FunProp.letTelescope {α : Type} {n : TypeType u_1} [MonadControlT Lean.MetaM n] [Monad n] (e : Lean.Expr) (k : Array Lean.ExprLean.Exprn α) :
    n α

    Telescope consuming only let bindings

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      Swaps bvars indices i and j

      NOTE: the indices i and j do not correspond to the n in bvar n. Rather they behave like indices in Expr.lowerLooseBVars, Expr.liftLooseBVars, etc.

      TODO: This has to have a better implementation, but I'm still beyond confused with how bvar indices work

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        For #[x₁, .., xₙ] create (x₁, .., xₙ).

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          For (x₀, .., xₙ₋₁) return xᵢ but as a product projection.

          We need to know the total size of the product to be considered.

          For example for xyz : X × Y × Z

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            For an element of a product type(of sizen) xs create an array of all possible projections i.e. #[xs.1, xs.2.1, xs.2.2.1, ..., xs.2..2]

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              Uncurry function f in n arguments.

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                Eta expand f in only one variable and reduce in others.

                Examples:

                  f                ==> fun x => f x
                  fun x y => f x y ==> fun x => f x
                  HAdd.hAdd y      ==> fun x => HAdd.hAdd y x
                  HAdd.hAdd        ==> fun x => HAdd.hAdd x
                
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