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Theorem a

⊦ (m + n0) + n1 = m + n0 + n1

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: addex, between, c, eq, eq-inc-neq, eqs, even, even-01, even-02, even-04, even-05, even-06, ex-oddeven, expand-nat, l, l-01, l-02, l-03, l-05, l-06, l-07, l-08, less, less-01, less-02, less-03, less-04, less-06, lp, ls, lsls, neq, neq-01, neq-02, nls-fst, nls-snd, one, one-01, one-02, one-03, oz, pe, pe-01, pls, pred, ps, pse, q, q-01, s, succ, succ-03, three, two, two-01, two-02, twols,
Used by units in proved state: list-last, list-del, string-less, stream, list, nat-pair, nat-div, int-pot, string-less-new, set-union, int-gcd, approx-fixpoint, stut-mon, path-reachable, ostore, oset, olist-sort, olist-min-max, olist, nat-prime, nat-pot, nat-inf, nat-even, mon-lim-filter-count, list-set, list-perm, list-data, intnat, int-pair, bag-union, store, set-basic, nat-mult, nat, array-copy, nat-sgn, streamseq-mon-lim, rtc-rel, rtc, bag-basic, choice, inf-app-list, infinite-append, assoclist, oseta, list-dup, array, array-list,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: add-rec, eq-01, add-base,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/inj-1