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Theorem lels-02

⊦ m ≠ n → (m ≤ n ↔ m < n)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: le-rec, les, less, lez-01, one-02, zero-02,
Used by units in proved state: list-del, nat-pair, nat-div, stut-mon, nat-prime, nat-pot, nat-even, mon-lim-filter-count, list-perm, list-data, bag-union, nat-mult, array-copy, streamseq-mon-lim, inf-app-list, infinite-append, list-dup,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: le-ls-simp, lels-03,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/neq-01