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Theorem lep-02

⊦ m + n ≤ m + n0 ↔ n ≤ n0

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: add-le-right2-ls, add-ls-right2-le, cancel-01, le, le-add-01, le-num-01, le-sum, lep-01, les, less, less-01, ls-02, ls-03, ls-add-not, pls, sub-le-rew,
Used by units in proved state: list-last, list-del, stream, list, nat-pair, nat-div, set-union, stut-mon, olist, nat-prime, nat-pot, mon-lim-filter-count, list-perm, list-data, intnat, bag-union, nat-mult, array-copy, streamseq-mon-lim, inf-app-list, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: succ-01, lez, lep,
Used spec theorems:
- Used simplifier rules: