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Theorem exdivmodpos

⊦ 0 ≤ i ∧ 0 < j → (∃ i0, j0. i = i0 * j + j0 ∧ 0 ≤ i0 ∧ 0 ≤ j0 ∧ j0 < j)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 4
Used lemmas: one, dist-lsplit, ls-pos, commutativity, associativity, zero-gr, auxexdivmod-01,
Used spec theorems:
- Used simplifier rules: