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Theorem pot-zero-01
⊦ 0 < i → (i ^ j = 0 ↔ j < 0 ∧ 1 < i)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
abs-2pot
,
div2
,
le-pos-01
,
pot-div
,
pot-eq-sub
,
pot-lez
,
pot-mod-zero
,
pot-nls
,
two-lez-01
,
two-zero
,
two-zero-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas:
one-01
,
eqone-02
,
grz
,
Pot-neg
,
Used spec theorems:
int-div
/
div-zero
Used simplifier rules:
int-abs
/
forward-le-01
int-abs
/
zero-gels-04
int-abs
/
forward-lsle
int-abs
/
forward-le-02
int-abs
/
abs-08
int-abs
/
numlelsdel-01
int-abs
/
lels
int-abs
/
bet
int-basic1
/
lf-02
int-basic1
/
lf-01
int-basic1
/
trans
int-basic1
/
forward-pos
int-abs
/
forward-le-05
int-abs
/
numls-03
int-abs
/
zero-gels-01
int-basic2
/
add-a
int-basic2
/
add-c
int-basic2
/
succ-01
int-abs
/
lsone
int-abs
/
zero-gels-03
int-abs
/
negle-07
int-basic2
/
add-zero-rev
int-div
/
div-eq-zero
int-abs
/
abs-16