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Theorem mod-sub
⊦ 0 < i ∧ j < 0 → (i - j) % i = ~(j % i)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 3
Used lemmas:
mod-neg-01
,
mod-add
,
Used spec theorems:
Used simplifier rules:
int-abs
/
sub-eq
int-abs
/
Sub-def
int-abs
/
neg-12
int-abs
/
neg-15
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
negeq
int-abs
/
negle-07
int-basic2
/
add-zero-rev
int-abs
/
zero-gels-03