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Theorem zero-ge-add

⊦ 0 ≤ j1 ∧ j1 < j → (0 ≤ i0 * j + j1 ↔ 0 ≤ i0)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: exdivmod, modeqp,
Used by units in proved state: int-pot, int-gcd, int-div, intnat,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: zero-ls, minus-one, commutativity, associativity, one, dist-rsplit, zero-ge-03,
Used spec theorems:
- Used simplifier rules: