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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: simp, localsimp,
Comment:
Used by:
le-succ
,
ls
,
mod-neq-02
,
modls
,
modp
,
mult-le
,
numeral-10
,
numeral-17
,
zero-03
,
zero-06
,
Used by units in proved state:
nat-pair
,
nat-prime
,
nat-pot
,
nat-mult
,
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
rsucc-01
,
mult-c
,
mult-a
,
zero
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
succ
nat-basic2
/
a
nat-basic2
/
c
nat-basic2
/
oz
nat-basic2
/
z-01