Fill.lt_of_add_succ: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/fill.bend as Fill
Lines 214-215 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/fill.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/fill.bend&start_line=214&end_line=215

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/memory.bend as MEM

def lt_of_add_succ(+a: Nat, +r: Nat, +n: Nat, +h: {Nat.is_le(Nat.add(a, 1n+r), n) == True{} : Bool}) -> {Nat.is_lt(a, n) == True{} : Bool}:
  N.lt_le_trans(a, Nat.add(a, 1n+r), n, MEM.lt_add_succ(a, r), h)

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=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.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/memory.bend&name=lt_add_succ
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend&name=lt_le_trans