PROOF.h.nk: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 2079-2085 of bend-kit-collections@0.1.4.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&start_line=2079&end_line=2085

import Base

# eq(k, key) is False when key is equal to k2 and eq(k, k2) is False.
def h.nk(
  ~K: Data, ~eq: K -> K -> Bool,
  ~sound: @x: K -> @y: K -> {eq(x, y) == True{} : Bool} -> {x == y : K},
  +k2: K, +key: K, +k: K, e: {eq(k2, key) == True{} : Bool}, ne: {eq(k, k2) == False{} : Bool}
) -> {eq(k, key) == False{} : Bool}:
  rw(K, z => {eq(k, z) == False{} : Bool}, key, k2, Equal.sym(K, k2, key, sound(k2, key, e)), ne)

Uses (3):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=rw