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Theorem add-less-fin-01
⊦ ⌜n⌝ < n∞ + ⌜n⌝ ↔ n∞ ≠ ⌜0⌝
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
add-less
,
Used by units in proved state:
stream
,
mon-lim-filter-count
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas:
ls-natinf-to-nat-1-2
,
less-inf2
,
add-inf2
,
less-fin
,
add-comm
,
add-assoc
,
add-all-zero
,
Used spec theorems:
Used simplifier rules:
nat-basic1
/
ref-1
nat-inf-basic
/
inj
nat
/
lels
nat
/
le-add
nat-basic2
/
a
nat-basic2
/
c
nat-inf-basic
/
disj