Api.no_len: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/api.bend as Api
Lines 267-269 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/api.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/api.bend&start_line=267&end_line=269

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

def no_len(-G: Type, +n: Nat, +m: Nat, +h: {n == m : Nat}, +hf: {Nat.is_eq(n, m) == False{} : Bool}) -> G:
  Empty.absurd(G, L.false_true(Equal.trans(Bool, False{}, Nat.is_eq(n, m), True{}, Equal.sym(Bool, Nat.is_eq(n, m), False{}, hf),
    Equal.trans(Bool, Nat.is_eq(n, m), Nat.is_eq(m, m), True{}, Equal.cong(Nat, Bool, x => Nat.is_eq(x, m), n, m, h), N.is_eq_refl(m)))))

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=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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_eq
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend&name=false_true
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend&name=is_eq_refl