Poly.len_le_mono: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/poly.bend as Poly
Lines 57-66 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/poly.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/poly.bend&start_line=57&end_line=66

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

def len_le_mono(+k: Nat, +d: Nat, +xs: List<&2, U32>, +e: {len_le(k, xs) == True{} : Bool}) -> {len_le(Nat.add(k, d), xs) == True{} : Bool}:
  match k xs:
    case 0n Nil{}:
      len_le_nil(d)
    case 0n Con{y, yt}:
      Empty.absurd({len_le(d, Con{y, yt}) == True{} : Bool}, L.false_true(e))
    case 1n+m Nil{}:
      {==}
    case 1n+ +m Con{y, +yt}:
      len_le_mono(m, d, yt, e)

Uses (9):
  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=List
  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=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/poly.bend&name=len_le
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/poly.bend&name=len_le_nil
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend&name=false_true