GatherPROOF.added_is: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend as GatherPROOF
Lines 561-577 of bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend&start_line=561&end_line=577

import Base
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/tensor/gather.bend as Gather
import bendtorch-core@0.1.0.0/src/tensor/parallel_proofs.bend as Generic

def added_is(+dg: Nat, -G: Array<F32>, +di: Nat, -I: Array<U32>, +kind: Gather.Lookup, +outer: Nat, +rows: Nat, +inner: Nat, +count: Nat,
  +o: Nat, +i: Nat, +r: Nat, left: Nat, +k: Nat, +acc: F32, -valid: Model.Balanced(F32, dg, G), -index_valid: Model.Balanced(U32, di, I)) ->
  Generic.Fact<AddedIs(dg, G, di, I, kind, outer, rows, inner, count, o, i, r, left, k, acc, Gather.added(Gather.Plan{kind, outer, rows, inner, count}, o, i, r, left, k, (acc, (G, I))))>:
  match left:
    case 0n:
      Generic.Fact{({==}, {==})}
    case 1n+rest:
      Generic.Fact{{\{Generic.Fact: q => q} : Generic.Fact<AddedIs(dg, G, di, I, kind, outer, rows, inner, count, o, i, r, 1n+rest, k, acc, Gather.added(Gather.Plan{kind, outer, rows, inner, count}, o, i, r, 1n+rest, k, (acc, (G, I))))> -> AddedIs(dg, G, di, I, kind, outer, rows, inner, count, o, i, r, 1n+rest, k, acc, Gather.added(Gather.Plan{kind, outer, rows, inner, count}, o, i, r, 1n+rest, k, (acc, (G, I))))}(
      step_added(dg, G, di, I, kind, outer, rows, inner, count, o, i, r, rest, k, acc,
        next => added_is(dg, G, di, I, kind, outer, rows, inner, count, o, i, r, rest, 1n+k, next, valid, index_valid),
        Gather.stepped(i, Gather.cell_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), Gather.slot_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), acc, (G, I)),
        {\{Generic.Fact: q => q} :
          Generic.Fact<Stepped<dg, G, di, I, i, Gather.cell_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), Gather.slot_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), acc,
            Gather.stepped(i, Gather.cell_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), Gather.slot_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), acc, (G, I))>> ->
          Stepped<dg, G, di, I, i, Gather.cell_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), Gather.slot_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), acc,
            Gather.stepped(i, Gather.cell_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), Gather.slot_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), acc, (G, I))>}(
          stepped_is(i, Gather.cell_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), Gather.slot_at(Gather.Plan{kind, outer, rows, inner, count}, o, k, r), acc, dg, G, di, I, valid, index_valid))))}

Uses (17):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=Balanced
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather.bend&name=Lookup
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather.bend&name=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather.bend&name=added
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather.bend&name=cell_at
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather.bend&name=slot_at
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather.bend&name=stepped
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend&name=AddedIs
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend&name=Stepped
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend&name=step_added
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend&name=stepped_is
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/parallel_proofs.bend&name=Fact