ReducePROOF.zeros_from_mapping: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend as ReducePROOF
Lines 615-630 of bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend&start_line=615&end_line=630

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/tensor/elementwise_totality.bend as Totality
import bendtorch-core@0.1.0.0/src/autograd/reduce.bend as Reduce
import bendtorch-core@0.1.0.0/src/autograd/reduce_LAWS.bend as Laws

def zeros_from_mapping(-input: Core.Dynamic, +target: Shape.Shape, +plan: Shape.BroadcastPlan,
  pair: Core.Dynamic & Result<&2, &1, Reduce.Error, Core.Dynamic>,
  -mapping: Laws.MappingWith(input, target, Done{plan}, pair),
  -listed: Laws.Listed(input, Nil{}),
  -empty: {Shape.logical_numel(Totality.dimensions(input)) == 0n : Nat}) -> Laws.Zeros<target, pair>:
  (owner, outcome) = pair
  match outcome:
    case Fail{error}:
      Laws.Zeros{Unit{}}
    case Done{output}:
      Laws.Zeros{index => inside => Equal.trans(Maybe<&2, F32>, Core.checked_observe_dynamic(output, index),
        Laws.fiber(plan, Nil{}, index, Shape.logical_numel(Totality.dimensions(input))), Some{0.0},
        mapping_values(input, target, plan, output, mapping)(Nil{})(listed)(index)(inside),
        {\{Holds: proof => proof} : Holds<{Laws.fiber(plan, Nil{}, index, Shape.logical_numel(Totality.dimensions(input))) == Some{0.0} : Maybe<&2, F32>}> ->
          {Laws.fiber(plan, Nil{}, index, Shape.logical_numel(Totality.dimensions(input))) == Some{0.0} : Maybe<&2, F32>}}(
          empty_fiber(plan, Nil{}, index, Shape.logical_numel(Totality.dimensions(input)), empty)))}

Uses (23):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  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=Base/base.bend&name=Unit
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_LAWS.bend&name=Listed
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_LAWS.bend&name=MappingWith
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_LAWS.bend&name=Zeros
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_LAWS.bend&name=fiber
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend&name=Holds
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend&name=empty_fiber
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend&name=mapping_values
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BroadcastPlan
  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/shape/core.bend&name=logical_numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=checked_observe_dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_totality.bend&name=dimensions