F64light.jmin: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64light.bend as F64light
Lines 107-112 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64light.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64light.bend&start_line=107&end_line=112

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/f64.bend as SF
import bend-collections-laws-math@1.0.0.0/spec/math/w64.bend as SW

def jmin(+q: Nat, +r: Nat) -> {SW.jam(q, SF.b2n(Bool.not(Nat.is_eq(r, 0n)))) == SW.jam(q, r) : Nat}:
  match r:
    case 0n:
      {==}
    case 1n+ +rp:
      Equal.cong(Nat, Nat, z => Nat.add(Nat.mul(2n, Nat.div(q, 2n)), Nat.max(Nat.mod(q, 2n), z)), 1n, Nat.min(1n+rp, 1n), Equal.sym(Nat, 1n+Nat.min(rp, 0n), 1n, Equal.cong(Nat, Nat, z => 1n+z, Nat.min(rp, 0n), 0n, minz(rp))))

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.not
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.div
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.max
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.min
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mod
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64light.bend&name=minz
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/f64.bend&name=b2n
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/w64.bend&name=jam