U64.eq_order: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/u64/u64.bend as U64
Lines 126-145 of bend-collections-laws-math@1.0.0.0/proofs/math/u64/u64.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/u64/u64.bend&start_line=126&end_line=145

import Base
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as U

def eq_order(+c: Cmp, +d: Cmp) -> {Cmp.is_eq(U.order(c, d)) == Bool.and(Cmp.is_eq(d), Cmp.is_eq(c)) : Bool}:
  match c d:
    case LT{} LT{}:
      {==}
    case LT{} EQ{}:
      {==}
    case LT{} GT{}:
      {==}
    case EQ{} LT{}:
      {==}
    case EQ{} EQ{}:
      {==}
    case EQ{} GT{}:
      {==}
    case GT{} LT{}:
      {==}
    case GT{} EQ{}:
      {==}
    case GT{} GT{}:
      {==}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp.is_eq
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/u64.bend&name=order