NatOrder.cv_mul: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/nat_order.bend as NatOrder
Lines 197-203 of bend-kit-collections@0.1.4.1/nat_order.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&start_line=197&end_line=203

import Base

def cv_mul(k: Nat, +A: Nat, +p: Lin, +v: Vs, +eA: {A == F(p, v) : Nat})
  -> {Nat.mul(k, A) == F(lsc(k, p), v) : Nat}:
  match k:
    case 0n:
      sy(F(L{0n, 0n, 0n, 0n, 0n}, v), 0n, F0(v))
    case 1n+ +j:
      cv_add(A, Nat.mul(j, A), p, lsc(j, p), v, eA, cv_mul(j, A, p, v, eA))

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=F
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=F0
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=Lin
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=Vs
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=cv_add
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=lsc
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=sy