TensorChainPROOF.took_hit: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/tensor_chain_PROOF.bend as TensorChainPROOF
Lines 100-108 of bendtorch-core@0.1.0.0/src/autograd/tensor_chain_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_PROOF.bend&start_line=100&end_line=108

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/autograd/gradient.bend as Gradient
import bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend as Backward
import bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend as Laws

def took_hit(+below: Nat, +target: Nat, +shape: Shape.Shape, -gradient: Core.Dynamic, -log: Laws.Log(), -w: Gradient.Slot,
  -x: Gradient.Slot, -left: Laws.Log(), took: {Laws.take(log, below, w) == (Done{x}, left) : Laws.Taken()},
  decided: {Nat.is_eq(below, target) == True{} : Bool}) ->
  {Laws.take(Backward.Contribution{target, shape, gradient} <> log, below, w) == (Laws.settled(Gradient.accumulate(shape, x, gradient)), left) : Laws.Taken()}:
  %Equal.sym(Bool, Nat.is_eq(below, target), True{}, decided) :
    {Laws.sorted(target, shape, gradient, _, Laws.take(log, below, w)) == (Laws.settled(Gradient.accumulate(shape, x, gradient)), left) : Laws.Taken()}
  %Equal.sym(Laws.Taken(), Laws.take(log, below, w), (Done{x}, left), took) :
    {Laws.sorted(target, shape, gradient, True{}, _) == (Laws.settled(Gradient.accumulate(shape, x, gradient)), left) : Laws.Taken()}
  {==}

Uses (17):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient.bend&name=Slot
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient.bend&name=accumulate
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=Contribution
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=Log
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=Taken
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=settled
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=sorted
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_chain_LAWS.bend&name=take
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic