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Theorem divmod-rew
j ≠ 0 ⊦ i / j * j + i % j = i
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
div-elim-negpos
,
div-elim-pos
,
div-elim-pospos
,
div-elim2
,
div2one
,
mod-mult
,
mod-mult-02
,
mod-neg
,
mod-neg-01
,
mod-rew
,
mod-sub-02
,
mod-twoodd
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas:
Mod-def
,
Used spec theorems:
Used simplifier rules: