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Theorem pot-mon
1 < m ⊦ m ^ n < m ^ n0 ↔ n < n0
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
lls
,
lls-01
,
lls-02
,
lpot
,
potmon
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
rec-01
,
pot-zero
,
Pot-zero
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
one
nat-basic
/
one-01
nat-basic
/
less-zero
nat-basic
/
c
nat-basic
/
a
nat-basic
/
s-04
nat-basic
/
succ
nat
/
ls-01
nat-mult
/
mult-c
nat-mult
/
mult-a
nat-mult
/
one-01
nat-mult
/
zero-06
nat
/
le-def
nat
/
elim-pred-c
nat-basic
/
oz
nat-mult
/
ls-02