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Theorem modeven-neg-01
⊦ i < 0 → ((i + 1) % 2 ≠ 0 ↔ (i + 1) % 2 = ~1 ∧ i % 2 = 0)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
square-even-01
,
Used by units in proved state:
int-gcd
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas:
mod-two-02
,
div-elim2
,
modeven-neg
,
Used spec theorems:
Used simplifier rules:
int-abs
/
lels-02
int-abs
/
abs-08
int-abs
/
neg-13
int-abs
/
numls-02
int-basic1
/
minus-one
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
forward-le-02
int-basic2
/
add-zero-rev
int-mult
/
associativity
int-mult
/
commutativity
int-abs
/
zero-gels-01