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Theorem l

⊦ m + n < m + n0 ↔ n < n0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: between, even-02, even-05, expand-nat, l-02, l-03, l-06, l-07, less, less-01, less-02, less-03, less-04, less-06, ls, neq, pls,
Used by units in proved state: list-del, string-less, stream, list, nat-pair, nat-div, set-union, stut-mon, olist-min-max, olist, nat-prime, nat-pot, nat-inf, nat-even, mon-lim-filter-count, list-set, list-perm, bag-union, set-basic, nat-mult, nat, array-copy, streamseq-mon-lim, inf-app-list, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas: l-04, s, succ, c, a, z,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/f
  - nat-basic1/ref-1