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Theorem mod-add1-negneg

⊦ i % j = 0 ∧ i < 0 ∧ i0 < 0 ∧ 0 < j → (i + i0) % j = i0 % j

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: modmod-add2-posneg-neg,
Used by units in proved state: int-pot,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: mod-add-neg,
Used spec theorems:
- Used simplifier rules:
  - int-basic2/add-c
  - int-basic2/add-a