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Theorem emtpystream-merge-to
⊦ (σ⊥ to n) + (σ⊥ to m) = σ⊥ to n + m
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
afs-contracts
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas:
zerostream-size
,
Used spec theorems:
stream
/buffer-inf/
extensionality
stream
/buffer-inf/
get-append-ls
Used simplifier rules:
nat-basic
/
f
nat-inf
/
ls-natinf-to-nat-1-2
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
eq-natinf-to-nat-2-2
nat-basic
/
c
nat-basic
/
a
nat-inf
/
add-fin
stream
/buffer-inf/
size-append
nat-inf
/
less-inf1
stream
/buffer-inf/
size-to
nat-inf
/
less-fin
stream
/buffer-inf/
get-to
buffer-inf-conv
/
at-emptystream
stream
/buffer-inf/
get-append-notls
nat-inf
/
sel
stream
/buffer-inf/
append-assoc
nat
/
lels
nat
/
le-def
nat
/
le-ls-simp
nat
/
ls-01