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Theorem ex-ls-add

⊦ i < j ↔ (∃ i0. j = i + i0 ∧ 0 < i0)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: int-abs, int-div,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas: zero-02, eq, add-pred-01, add-in, ls-01, lst-03, succ-01, add-zero-rev, add-c, add-a, add-less,
Used spec theorems:
- int-basic1/lsrec
Used simplifier rules: