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Theorem even
⊦ even(n) ↔ (∃ m. m + m = n)
Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by:
div2-elim-01
,
div2-even
,
div2-odd
,
div2-odd-01
,
eo
,
eo-01
,
eo-02
,
even-add
,
even-div2
,
even-mult
,
odd-01
,
odd-add
,
odd-mult
,
oe-01
,
oe-02
,
oex
,
ozero
,
plus
,
pot2-even-02
,
pot2-odd-02
,
two-02
,
two-03
,
zero-01
,
zero-02
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 9
Used lemmas:
Even-new
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
c
nat-basic
/
a
nat-mult
/
two-02
nat-div
/
div-elim
nat-basic
/
add-base
nat-mult
/
mult-c
nat-div
/
mod-mult-01
nat-mult
/
mult-a