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Theorem append-size-less
⊦ # x < # x1 → (x + x0 = x1 + x2 ↔ (∃ y. x1 = x + y ∧ x0 = y + x2))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas:
in-rec
,
e-01
,
c-06
,
in-append
,
in-14
,
len-05
,
c
,
Nil
,
a
,
Used spec theorems:
Used simplifier rules:
list-data
/
size-01
nat-basic1
/
zero
list-data
/
l
nat-basic1
/
f
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
l
nat-basic2
/
succ