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Theorem split-first
n ≤ # x ⊦ ∃ y, z. x = y + z ∧ # y = n
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
split-rest
,
Used by units in proved state:
list-last
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas:
len
,
len-05
,
c
,
a
,
Nil
,
Used spec theorems:
nat
/
sub-add
Used simplifier rules:
list-data
/
size-01
nat
/
lez-01
nat
/
pred-03
nat-basic1
/
f
nat
/
le-one
nat
/
leprf
nat
/
lels-01
nat-basic1
/
one-01
nat
/
lez
list-data
/
l
nat
/
not-zero
nat
/
elim-pred-c
nat
/
lep
nat-basic2
/
oz
nat-basic2
/
succ
nat-basic2
/
eq-01
nat-basic2
/
a
nat-basic2
/
c