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Theorem zero-01
⊦ m0 * m = 0 ↔ m0 = 0 ∨ m = 0
Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by:
le
,
le-same
,
ls-06
,
ls2-02
,
ls2-03
,
mod-neq-02
,
modls
,
modp
,
mult-le
,
numeral-10
,
numeral-17
,
sqle
,
sqls
,
square-less
,
sqzero
,
two-zero-01
,
zero-03
,
zero-06
,
zero-num
,
Used by units in proved state:
nat-prime
,
nat-pot
,
nat-div
,
nat-pair
,
int-pot
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
zero
,
rsucc-02
,
mult-base
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
succ
nat-basic
/
a
nat-basic
/
c
nat-basic
/
oz
nat-basic
/
z-01