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Theorem modulo-between-equal

n0 ≠ 0 ⊦ h < n ∧ n < h + n0 → h % n0 ≠ n % n0

Type: A user defined theorem
Validity: The proof is valid.
Features: ls, s,
Comment:
Used by: modulo-between-equal2, modulo-between-equal3,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: mod-ls, div-elim,
Used spec theorems:
- Used simplifier rules: