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Theorem extensionality-to
⊦ σ0 = σ1 ↔ # σ0 = # σ1 ∧ (∀ n. ¬ # σ0 < ⌜n⌝ → σ0 to n = σ1 to n)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
streamseq-mon-lim
,
mon-lim-filter-count
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas:
to-unwind-end
,
size-succ
,
extensionality
,
Used spec theorems:
Used simplifier rules:
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-basic
/
c
nat-basic
/
a
nat-inf
/
add-fin
nat-inf
/
lsle-trans
nat-inf
/
lels-trans
list
/
a
list
/
in-15
list
/
app-06