Sqrtn.le_zero: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/natural/sqrtn.bend as Sqrtn
Lines 67-72 of bend-collections-laws-math@1.0.0.0/proofs/math/natural/sqrtn.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/sqrtn.bend&start_line=67&end_line=72

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/logic.bend as L

def le_zero(+g: Nat, +h: {Nat.is_le(g, 0n) == True{} : Bool}) -> {g == 0n : Nat}:
  match g:
    case 0n:
      {==}
    case 1n+gp:
      Empty.absurd({1n+gp == 0n : Nat}, L.false_true(h))

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=Empty.absurd
  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_le
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/logic.bend&name=false_true