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Theorem mod-zero-09
⊦ 0 < i ∧ i < j → i % j = i
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
mod-zero-08
,
mod-zero-ls
,
modmod-add-case
,
modmod-add-if
,
modmod-add2-negpos-pos-01
,
one-03
,
Used by units in proved state:
int-pot
,
intnat
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas:
mod-zero-05
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-05
int-basic1
/
trans
int-basic1
/
lf-01
int-basic1
/
forward-pos
int-abs
/
abs-16
int-abs
/
lels
int-abs
/
lels-03