NatOrder.double_le: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/nat_order.bend as NatOrder
Lines 196-200 of stelliferous@0.0.2.0/proofs/nat_order.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/nat_order.bend&start_line=196&end_line=200

import Base
import stelliferous@0.0.2.0/proofs/word_encoding.bend as WordEncoding

def double_le(+a: Nat,+b: Nat,ordered: {Nat.is_le(a,b) == True{} : Bool}) -> {Nat.is_le(Nat.double(a),Nat.double(b)) == True{} : Bool}:
  match a b:
    case 0n b: zero_le(Nat.double(b))
    case 1n+a 0n: Empty.absurd({Nat.is_le(Nat.double(1n+a),0n) == True{} : Bool},WordEncoding.false_true(ordered))
    case 1n+a 1n+b: double_le(a,b,ordered)

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=stelliferous@0.0.2.0/proofs/nat_order.bend&name=zero_le
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_encoding.bend&name=false_true