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Theorem add-assoc

⊦ (n∞ + n∞1) + n∞2 = n∞ + n∞1 + n∞2

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: add-all-zero, add-cancel-01, add-cancel-02, add-cancel-03, add-cancel-num-01, add-cancel-num-02, add-cancel-num-03, add-cancel-num-04, add-inf-01, add-inf-02, add-less, add-less-fin-01, add-ls-cancel-01, add-ls-cancel-num-01, add-ls-cancel-num-02, add-ls-cancel-num-03, add-ls-cancel-num-04, add-not-less, addeqinf-cancel, eqls-ls-notls, eqls-succ, eqsucc-ls, eqsucc-notls, eqsum-notless, inf-inseq-reduce, leq-notgradd, less-less-leftsucc, less-notgeqinf, less-succ-leq, ls-lsadd, ls-notlssucc, ls-succ, ls-succ-01, num-add, rem-seln-on-add, sum-notinf, sum-zero, sum-zero-fin,
Used by units in proved state: stream, stut-mon, mon-lim-filter-count, streamseq-mon-lim, inf-app-list, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 5
Used lemmas: add-fin, add-inf2, add-inf1, add-comm, add-all-inf,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/a
  - nat-basic2/c