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Theorem div-elim-divides
⊦ 0 ≠ j ∧ i % j = 0 → (i0 = i / j ∧ j0 = i % j ↔ i = i0 * j + j0 ∧ j0 = 0)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
div-mult-03
,
mult-div-switch
,
Used spec theorems:
Used simplifier rules:
int-basic2
/
add-zero-rev
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
eq
int-mult
/
commutativity
int-mult
/
associativity