Nat.double_succ_le: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend as Nat
Lines 433-438 of bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&start_line=433&end_line=438

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

def double_succ_le(+n: Nat, e: {Nat.is_le(1n, n) == True{} : Bool}) -> {Nat.is_le(1n+n, Nat.double(n)) == True{} : Bool}:
  match n:
    case 0n:
      Empty.absurd({Nat.is_le(1n, 0n) == True{} : Bool}, L.false_true(e))
    case 1n+p:
      double_self_le(p)

Uses (7):
  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.double
  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
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=double_self_le