Refinement.law_swap_at_refines: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/storage/refinement.bend as Refinement
Lines 437-442 of bendtorch-core@0.1.0.0/src/storage/refinement.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/storage/refinement.bend&start_line=437&end_line=442

import Base
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/array.bend as Core

def law_swap_at_refines(-T: Data, d: Nat, array: Array<T>, +n: U32, +i: U32, new: T,
  valid: Model.Balanced(T, d, array)) ->
  {first(T, Array.swap.at(T, i, new, (array, n))) ==
    Core.write_path(T, d, array, route_n(d, n, i), new) : Array<T>}:
  swap_go_written(T, d, array, n, masked(n, i), U32.is_lt(masked(n, i), U32.shr(n)), new,
    swap_go(T, d, array, n, masked(n, i), new, U32.is_lt(masked(n, i), U32.shr(n)), valid))

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.swap.at
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.shr
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/array.bend&name=write_path
  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=masked
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/refinement.bend&name=route_n
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/refinement.bend&name=swap_go
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/refinement.bend&name=swap_go_written