ElementwiseParallelProof.clone_first: 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 79-86 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=79&end_line=86

import Base
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/clone.bend as Clone

def clone_first(-d: Nat, -original: Array<F32>, -target: Array<F32>, -pair: Array<F32> & Array<F32>,
  -exact: {pair == Array.clone(F32, original) : Array<F32> & Array<F32>}, -same: {original == target : Array<F32>},
  -valid: Model.Balanced(F32, d, target)) -> Fact<{Pair.fst(Array<F32>, Array<F32>, pair) == target : Array<F32>}>:
  Fact{Equal.trans(Array<F32>, Pair.fst(Array<F32>, Array<F32>, pair), Pair.fst(Array<F32>, Array<F32>, Array.clone(F32, original)), target,
    Equal.cong(Array<F32> & Array<F32>, Array<F32>, p => Pair.fst(Array<F32>, Array<F32>, p), pair, Array.clone(F32, original), exact),
    Equal.trans(Array<F32>, Pair.fst(Array<F32>, Array<F32>, Array.clone(F32, original)), original, target,
      Clone.first_equal(F32, d, original, Clone.certify(F32, d, original, {\{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.clone
  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=Pair.fst
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/clone.bend&name=certify
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/clone.bend&name=first_equal
  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/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