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Theorem le-ls-simp

⊦ m ≤ n → (n < m ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add, add-01, add-ls-right2-le, add-sub-less, fle-01, le-sum, lels-02, less-01, less-03, let, ls-04, ls-06, ls-07, ls-add-not, ls-le-simp, neq-01, sub-add-01, sub-le-rew, sub-same, sub-succ, succ-02, trans-le-le, trans-le-ls, trans-ls-le,
Used by units in proved state: list-del, stream, list, nat-pair, nat-div, int-pot, stut-mon, olist, nat-prime, nat-pot, nat-inf, nat-even, mon-lim-filter-count, list-set, list-perm, intnat, bag-union, set-basic, nat-mult, array-copy, streamseq-mon-lim, inf-app-list, infinite-append, array-list,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: fle,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/ref-1
  - nat-basic1/f