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Theorem modeqp

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

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: mod-neq, modeqp-01, modeqp-02, modlep, mods-eq, square-even,
Used by units in proved state: int-pot, int-div,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas: dist-lsplit, one, dist-rsplit, zero-eq, zero-ge-add, ls-add, commutativity, associativity, Mult-zero,
Used spec theorems:
- Used simplifier rules: