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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, ls-05, neq-02, neq-03, psh-01,
Used by units in proved state: list-del, list+array-ops, olist-min-max, list-as-arrayinstance, olist, filter-count, array-copy, mon-lim-filter-count, list, stut-mon, set-basic, nat-div, nat-mult, stream, nat, nat-prime, list-perm, streamseq-mon-lim, set-union, bag-union, list-set, nat-inf, inf-app-list, infinite-append, nat-pair, list-dup, nat-even, natset, array-as-listinstance, array-revin, list-getput,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 8
Used lemmas: neq-01, refl-nat, eq-01, ls-04, l-04, f, ls-02, s-04, succ, less-zero, c, a, l-02, z-02, gen,
Used spec theorems:
- Used simplifier rules: