PROOF.aes_nat_succ_ne_zero: def of qasim-bend-kit@0.1.0.2
Import: import qasim-bend-kit@0.1.0.2/PROOF.bend as PROOF
Lines 387-391 of qasim-bend-kit@0.1.0.2/PROOF.bend: https://jend.leeeet.dev/read.txt?path=qasim-bend-kit@0.1.0.2/PROOF.bend&start_line=387&end_line=391

import Base
import qasim-bend-kit@0.1.0.2/proof/JSON_PrimitiveProof.bend as PrimitiveProof

def aes_nat_succ_ne_zero(+p: Nat) -> {1n+p != 0n : Nat}:
    e => PrimitiveProof.absurd(Empty,
        PrimitiveProof.false_true(
            Equal.cong(Nat, Bool, n => Nat.is_eq(n, 0n),
                1n+p, 0n, e)))

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
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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=qasim-bend-kit@0.1.0.2/proof/JSON_PrimitiveProof.bend&name=absurd
  https://jend.leeeet.dev/definition.txt?path=qasim-bend-kit@0.1.0.2/proof/JSON_PrimitiveProof.bend&name=false_true