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Theorem isempty-elim-left
# buf0 ≤ n, n + m ≤ # buf0 + # buf1 ⊦ isempty(buf0 + buf1, n, m) ↔ isempty(buf1, n - # buf0, m)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 15
Used lemmas:
isempty-elim-left0
,
isempty-ext
,
Used spec theorems:
array-splice
/buffer/
append-at
Used simplifier rules:
nat-basic
/
eq-02
array-splice
/buffer/
append-len
nat
/
ls-le-simp
array-splice
/buffer/
append-atp2
array-splice
/buffer/
append-a
nat
/
lels
nat
/
le-ls-simp
nat
/
le-def
nat-basic
/
l-02
nat
/
elim-sub
nat-basic
/
l-01
nat
/
fle-01
nat
/
fle
nat-basic
/
f
nat-basic
/
l
nat
/
lep-02
nat-basic
/
c
nat-basic
/
a
nat
/
lep