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Theorem add-a

⊦ i + j + i0 = (i + j) + i0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-c, add-in, add-less, add-pred-01, add-succ-01, add-succ-02, add-zero-rev, eq, ex-ls-add, ex-oddeven, ls, ls-01, ls-02, ls-03, ls-add-both, ls-succ-01, ls-succ-02, ls-succ-03, ls-zero, lst, lst-01, lst-02, lst-03, lst-04, mone-01, mone-02, mone-03, mthree, neq, neq-01, nls, not-zero-pos, num-between, pls, pls-01, pls-02, pls-03, pls-04, plst, plst-01, pred, rewz, succ, succ-01, ttwo, zero, zero-01, zero-02, zero-03, zero-04, zero-05, zero-06, zero-07,
Used by units in proved state: int-abs, int-mult, int-pot, int-gcd, int-div, intnat, int-square, int-pair, int-min,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 7
Used lemmas: add-pred, add-succ, add-zero,
Used spec theorems:
- Used simplifier rules:
  - int-basic1/succ-in
  - int-basic1/pred-in