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Theorem add-in

⊦ i + j = i + i0 ↔ j = i0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-succ-01, ex-ls-add, ex-oddeven, pred,
Used by units in proved state: int-abs, int-mult, int-pot, int-gcd, int-div, intnat, int-square,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: add-pred-01, succ-01, add-c, add-a, add-zero-rev,
Used spec theorems:
- int-basic1/succ-in
Used simplifier rules:
- int-basic1/pred-in