AxisAlgebra.nat_clash: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra
Lines 186-190 of bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&start_line=186&end_line=190

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith

def nat_clash(+a: Nat, +b: Nat, equal: {a == b : Nat}, different: {False{} == Nat.is_eq(a, b) : Bool}) -> Empty:
  Shape.clash(Equal.trans(Bool, True{}, Nat.is_eq(a, b), False{},
    Equal.trans(Bool, True{}, Nat.is_eq(b, b), Nat.is_eq(a, b), Equal.sym(Bool, Nat.is_eq(b, b), True{}, Arith.eq_refl(b)),
      Equal.cong(Nat, Bool, n => Nat.is_eq(n, b), b, a, Equal.sym(Nat, a, b, equal))),
    Equal.sym(Bool, False{}, Nat.is_eq(a, b), different)))

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty
  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.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=bendtorch-core@0.1.0.0/src/shape/core.bend&name=clash
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=eq_refl