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Theorem monle-leq
⊦ mon≤(nσ) ∧ m ≤ n ∧ ⌜n⌝ < # nσ → nσ[m] ≤ nσ[n]
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
eq-leninv
,
inv-get-inverse
,
inv-get-inverse-between
,
inv-get-inverse-last
,
inv-get-inverse-succ
,
inv-inverts
,
inv-inverts-leq
,
inv-ls-succ
,
leninv-inf
,
leninv-succ
,
leq-leninv
,
less-leninv
,
lsleninv-1
,
stutf-maxinf-is-fin
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas:
monle-def
,
Used spec theorems:
Used simplifier rules:
nat
/
lels-01
nat
/
zero-02
nat-basic1
/
ref-1
nat-basic2
/
succ
nat
/
elim-sub
nat-basic1
/
f
nat
/
fle
nat
/
lels
nat-basic2
/
l-02
nat-inf
/
ls-natinf-to-nat-2-1
nat-inf
/
add-ls-cancel-01
nat-inf
/
lsle-trans
nat
/
lep
nat
/
eq-01
nat-inf
/
add-fin
nat-basic2
/
a
nat-basic2
/
c
nat-inf
/
add-assoc
nat-inf
/
add-comm
nat
/
ls-le-simp