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Theorem minus-one-odd
⊦ 0 < j ∧ j % 2 = 1 → ~1 ^ j = ~1
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
equal-minus-one
,
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
,
pot-square
,
succ
,
Used spec theorems:
int-div
/
modex-odd
Used simplifier rules:
int-abs
/
forward-le-05
int-abs
/
forward-le-01
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
zero-gels-04
int-mult
/
zero-ge
int-abs
/
sub-eq
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
minus-add
int-abs
/
negeq
int-mult
/
minus-one-02
int-mult
/
associativity
int-mult
/
commutativity