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Theorem mod-pos-def
⊦ 0 ≤ i % j → i |%| j = i % j
Type: An axiom
Validity: The proof is valid.
Features:
Comment:
Used by:
congmod-def-mod-01
,
congmod-def-mod-02
,
congmod-inverse-smallest
,
div-mod-eq
,
ex-modeq-half
,
mod-abs-neg-div
,
mod-abs-pos
,
mod-ex-div
,
mod-i2n
,
mod-le-same
,
mod-mult
,
mod-mult-04
,
mod-neg
,
mod-one
,
mod-pos
,
mod-pos-rev
,
mod-rec
,
mod-zero
,
mod-zero-01
,
Used by units in proved state:
Proof exists?: No