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Theorem a

⊦ (m + n0) + n1 = m + n0 + n1

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: addex, between, c, elim-pred-c, eq, eq-01, eq-02, eq-inc-neq, eqs, even, even-01, even-02, even-04, even-05, even-06, ex-oddeven, expand-nat, ilf, ilf-01, ilf-02, ilf-03, l, l-01, l-02, l-03, l-05, l-06, l-07, l-08, l-addone, less, less-01, less-02, less-03, less-04, less-06, lf-08, lp, ls, ls-01, ls-05, lsls, lstwo, neq-02, neq-03, neq-04, nls-fst, nls-snd, numeral-1, one, one-01, one-03, one-04, one-05, one-06, oz, pe, pe-01, pls, pred, prop-p-01, ps, pse, psh-01, psh-02, psh-03, psh-04, psh-06, psh-07, psh-09, psu, psu-01, psu-02, psu-03, psu-04, q-add, q-add-01, rec, s, s-01, s-02, s-03, s-04, succ, succ-03, three, two, two-01, two-02, twols, z-01, z-02,
Used by units in proved state: list-del, list+array-ops, olist-min-max, olist-sort, list-as-arrayinstance, rowcol-upd, olist, matrixops, filter-count, array-copy, approx-fixpoint, mon-lim-filter-count, oset, wellfounded-TL, list, int-pot, assoclist, bag-basic, stut-mon, rtc-rel, set-basic, nat-div, nat-mult, stream, nat, nat-prime, list-perm, streamseq-mon-lim, string-less, list-data, set-union, bag-union, choice, list-set, ostore, nat-inf, inf-app-list, path-reachable, intnat, infinite-append, nat-sgn, array, int-pair, nat-pair, nat-pot, rtc, list-dup, store, nat-even, list-last, matrix, natset, array-as-listinstance, array-revin, array-listops, list-getput,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 4
Used lemmas: inj-succ, add-rec, add-base, gen,
Used spec theorems:
- Used simplifier rules: