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Theorem monls-ls
⊦ mon<(nσ) ∧ m < n ∧ ⌜n⌝ < # nσ → nσ[m] < nσ[n]
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
min-stutters
,
mininv-inverts-inner
,
mininv-inverts-inner-succ
,
mon-eq
,
monls-exists-maxleq
,
rem-preserves-monls
,
succlessleninv-invsize
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 13
Used lemmas:
monls-def
,
Used spec theorems:
Used simplifier rules:
nat
/
lels
nat
/
zero-01
nat-basic2
/
succ
nat
/
elim-sub
nat-basic2
/
s
nat
/
lels-03
nat-basic2
/
l-02
nat-inf
/
ls-natinf-to-nat-2-1
nat-inf
/
add-ls-cancel-01
nat-inf
/
lsle-trans
nat-basic2
/
l-01
nat
/
eq-01
nat-inf
/
add-all-zero
nat
/
le-ls-simp
nat
/
fle-01
nat-basic1
/
f
nat
/
lels-01
nat-inf
/
add-fin
nat-basic2
/
a
nat-basic2
/
c
nat-inf
/
add-assoc
nat-inf
/
add-comm
nat-basic1
/
ls-02