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Theorem modneqp

i * i0 + j0 = i1 * j + j1, 0 ≤ j1, j1 < j, 0 ≤ j0, j0 < j, 0 ≤ i0, i0 ≤ j, 0 ≤ i, i < i1 ⊦

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas: ls-pos, associativity, ls-forward, commutativity, modlep-03,
Used spec theorems:
- Used simplifier rules: