ElementwiseParallelProof.read_keeps: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend as ElementwiseParallelProof
Lines 49-57 of bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend&start_line=49&end_line=57

import Base
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/refinement.bend as Refinement

# A read keeps the array and returns the observed cell.
def read_keeps(-d: Nat, -original: Array<F32>, -target: Array<F32>, -i: U32, -pair: Array<F32> & F32,
  -exact: {pair == Array.get(F32, original, i) : Array<F32> & F32}, -same: {original == target : Array<F32>},
  -valid: Model.Balanced(F32, d, target)) -> Fact<{Refinement.first(F32, pair) == target : Array<F32>}>:
  Fact{Equal.trans(Array<F32>, Refinement.first(F32, pair), Refinement.first(F32, Array.get(F32, original, i)), target,
    Equal.cong(Array<F32> & F32, Array<F32>, p => Refinement.first(F32, p), pair, Array.get(F32, original, i), exact),
    Equal.trans(Array<F32>, Refinement.first(F32, Array.get(F32, original, i)), original, target,
      Refinement.law_get_retains(F32, d, original, i, {\{Fact: p => p} : Fact<(Model.Balanced(F32, d, original))> -> Model.Balanced(F32, d, original)}(transport_balanced(d, original, target, same, valid))),
      same))}

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.get
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  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/storage/refinement.bend&name=first
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/refinement.bend&name=law_get_retains
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend&name=Fact
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend&name=transport_balanced