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Theorem div-twoodd-01
⊦ i < 0 ∧ i % 2 = 0 → (i - 1) / 2 = i / 2
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:
mult-div-switch
,
Div-left
,
mod-neg-01
,
div2-odd
,
two-even
,
num-neg
,
Used spec theorems:
int-abs
/
minus-02
Used simplifier rules:
int-abs
/
neg-10
int-abs
/
neg-02
int-mult
/
associativity
int-mult
/
commutativity
int-abs
/
neg-15
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
negeq
int-abs
/
sub-ls
int-abs
/
lsone
int-abs
/
zero-gels-03
int-abs
/
negle-07
int-basic2
/
add-zero-rev