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Theorem l

⊦ m + n < m + n0 ↔ n < n0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 7
Used lemmas: neq-01, ls-02, eq-02, ref, oz, l-addone, eq-01, l-05, trans, trans-01, l-04, f, ls-04, l-08, succ, less-1, l-02, c, a, z-02, gen,
Used spec theorems:
- Used simplifier rules: