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Theorem append-cancel-l
⊦ ⌜x⌝ + σ0 = ⌜x⌝ + σ1 ↔ σ0 = σ1
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
append-cut1
,
append-from-le-01
,
append-to-addsize-01
,
append-to-gr-01
,
append-to-le-01
,
cons-append
,
cons-to-addnum
,
cons-to-num
,
elim-hd-tl
,
eq-stream-to-list-2-1
,
eq-stream-to-list-3-1
,
leq-append-both
,
one-inf
,
to-attach
,
to-succ-cons
,
to-unwind-begin
,
to-unwind-end
,
Used by units in proved state:
mon-lim-filter-count-old
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 11
Used lemmas:
append-fininf
,
neq-fin-inf-01
,
neq-fin-inf-02
,
append-assoc
,
eq-stream-to-list-2-2
,
Used spec theorems:
Used simplifier rules:
list
/
app-01
list
/
a
stream-basic
/
inj-rqui0
nat-basic
/
l-02
nat
/
eq-01
nat-basic
/
a
nat-basic
/
c