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Theorem lsleninv-1
⊦ stutf(nσ) ∧ ⌜m⌝ < # nσ ∧ n < nσ[m] → (¬ ⌜n⌝ < leninv(nσ) ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
lsleninv-2
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 10
Proof steps: 24
Used lemmas:
stutf-nonempty
,
stutf-monle
,
monle-leq
,
stutf-alltaken
,
leninv-succ
,
leninv-zero
,
Used spec theorems:
Used simplifier rules:
nat-basic1
/
zero
nat
/
lez
stream
/natstream/
size-inf
stream
/natstream/
sel-inf
nat-basic1
/
zero-01
nat
/
succ-01
nat
/
lels-03
nat
/
fle
nat
/
lels-01
nat-inf
/
less-inf2
nat
/
eqle-one
nat-basic1
/
lf-01
nat-basic1
/
lf-02
nat-inf-basic
/
elim
nat
/
fle-01
nat-basic1
/
f
nat-inf
/
less-fin
nat-inf-basic
/
disj
stream
/natstream/
size-empty-equiv
nat
/
elim-pred-c
nat-basic2
/
succ
nat-basic1
/
trans-1
nat-basic1
/
lf
nat
/
let
nat
/
lels
nat-basic2
/
oz
nat-inf
/
add-fin
nat-inf
/
add-assoc
nat-inf
/
add-comm
nat-inf
/
inf-inseq-reduce
nat-basic2
/
s
nat-basic1
/
ref-1
nat-basic2
/
a
nat-basic2
/
c
nat
/
ls-le-simp