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Theorem leq-leninv
⊦ ⌜n⌝ < # nσ ∧ stutf(nσ) → (leninv(nσ) < ⌜nσ[n]⌝ ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by:
not-ls-leninv
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 20
Used lemmas:
stutf-monle
,
monle-leq
,
leninv-succ
,
leninv-zero
,
leninv-less
,
Used spec theorems:
Used simplifier rules:
nat-basic1
/
zero
stream
/natstream/
sel-inf
nat-basic2
/
succ
nat-basic1
/
lf-01
nat-basic1
/
lf-02
nat-inf
/
less-inf2
nat-inf-basic
/
elim
nat-basic1
/
f
nat-inf
/
less-fin
nat-inf-basic
/
disj
nat
/
elim-pred-c
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
/
fle
nat-basic2
/
l-02