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Theorem ls-notlssucc

⊦ ⌜m⌝ < n∞ → (⌜m⌝ + ⌜1⌝ < n∞ ↔ ⌜m⌝ + ⌜1⌝ ≠ n∞)

Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state: mon-lim-filter-count, stut-mon,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: add-fin, ls-natinf-to-nat-2-1, less-fin, inf-less, less-inf2, gen, add-comm, add-assoc, ls-natinf-to-nat-2-2,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/c
  - nat-basic/a
  - nat-basic/l
  - nat/lels
  - nat/les
  - nat/eqle-one
  - nat-basic/f
  - nat-basic/lf-01
  - nat-basic/oz