CorePROOF.frame_checked_mapping: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/core_PROOF.bend as CorePROOF
Lines 248-271 of bendtorch-core@0.1.0.0/src/tensor/core_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/core_PROOF.bend&start_line=248&end_line=271

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/main.bend as Storage
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
import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle
import bendtorch-core@0.1.0.0/src/tensor/core_LAWS.bend as Laws

def frame_checked_mapping(-shape: Shape.Shape, +d: Nat, +n: Nat, array: Array<F32>, +i: U32, +other: U32, +value: F32,
  balanced: Model.Balanced(F32, d, array), -valid: {Storage.bounds(d, n) == True{} : Bool},
  -exact: {n == Shape.logical_numel(Shape.dimensions(shape)) : Nat}, allowed: Bool,
  -decision: {allowed == Nat.is_lt(U32.to_nat(i), n) : Bool},
  -same: {Storage.set_checked(d, n, array, i, value, allowed, decision, balanced, valid) ==
    Storage.set(Storage.Owned{d, n, array, balanced, valid}, i, value) : Storage.Storage & Result<&2, &2, Storage.Error, Unit>},
  accepted: {allowed == True{} : Bool},
  index_checked: {Storage.index_matches(d, n, i) == True{} : Bool},
  other_checked: {Storage.index_matches(d, n, other) == True{} : Bool},
  different: {Nat.is_eq(U32.to_nat(i), U32.to_nat(other)) == False{} : Bool}) ->
  {Core.write_observe(shape, Core.write_result(shape, Storage.Owned{d, n, array, balanced, valid}, exact, i, value,
    Storage.set_checked(d, n, array, i, value, allowed, decision, balanced, valid), same), other) ==
    Model.observe(F32, d, array, Refinement.route(d, other)) : Maybe<&2, F32>}:
  match allowed:
    case False{}:
      Empty.absurd({Core.write_observe(shape, Core.write_result(shape, Storage.Owned{d, n, array, balanced, valid}, exact, i, value,
        Storage.set_checked(d, n, array, i, value, False{}, decision, balanced, valid), same), other) ==
        Model.observe(F32, d, array, Refinement.route(d, other)) : Maybe<&2, F32>},
        Lifecycle.false_true(Equal.sym(Bool, False{}, True{}, accepted)))
    case True{}:
      %Laws.checked_route_separation(d, n, i, other, index_checked, other_checked, different) :
        {Model.observe(F32, d, Array.set(F32, array, i, value), Refinement.route(d, other)) ==
          Model.select(F32, _, value, Model.observe(F32, d, array, Refinement.route(d, other))) : Maybe<&2, F32>}
      StorageLaws.primitive_update_frame(F32, d, array, i, Refinement.route(d, other), value, balanced)

Uses (33):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.set
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  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=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  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=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  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/shape/core.bend&name=Shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=dimensions
  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/storage/LAWS.bend&name=primitive_update_frame
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=Storage
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=bounds
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=index_matches
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=set
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=set_checked
  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/model.bend&name=observe
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=select
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/refinement.bend&name=route
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=write_observe
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=write_result
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core_LAWS.bend&name=checked_route_separation
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=false_true