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Theorem even
⊦ i ^2 % 2 = 0 ↔ i % 2 = 0
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
add-even
,
Used by units in proved state:
int-pot
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 10
Used lemmas:
Square-def
,
Used spec theorems:
int-div
/
even-not-ex
int-mult
/
dist-lsplit
int-mult
/
one
int-div
/
modex
Used simplifier rules:
int-basic2
/
add-in
int-mult
/
eq-dist
int-mult
/
associativity
int-mult
/
commutativity
int-basic2
/
add-a
int-basic2
/
add-c
int-div
/
even-not
int-div
/
mod-zero-num