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Theorem fullcountevn-range
m ≤ n, n ≤ # a, ∀ n0. m ≤ n0 ∧ n0 < n ∧ even(n0) → p(a[n0]) ⊦ countevn(a, m, n, p) = (even(m) ⊃ (n + 1 - m) / 2;(n - m) / 2)
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: 16
Proof steps: 41
Used lemmas:
countevn-rec
,
countevn-base
,
Used spec theorems:
nat-even
/
even-div2
nat-even
/
odd-div2
nat-even
/
even-add
Used simplifier rules:
nat
/
let
nat-basic
/
c
nat-basic
/
a
nat
/
add-01
nat
/
lez-01
nat-basic
/
less-zero
nat
/
lez
nat-even
/
Even-new
list-data
/oarray-sort/
l
nat-basic
/
f
nat-basic
/
s-04
nat-basic
/
succ
nat
/
succ-01
nat
/
lels-03
nat
/
le-def
nat
/
les
nat
/
eqle-one
nat-basic
/
lf-01
nat
/
fle
nat-basic
/
oz
nat
/
lels
nat
/
ls-le-simp
nat-even
/
eo-02
nat
/
cancel-01
nat
/
zero
nat
/
fle-01
nat-div
/
two-rec
nat-basic
/
refl-nat
nat-basic
/
eq-01
nat
/
elim-sub
nat-basic
/
l-01
nat-basic
/
trans-nat
nat-basic
/
lf
nat-even
/
even-div2
nat-even
/
plus
nat
/
lep
nat-basic
/
ls-02
nat-even
/
oe-01
nat-even
/
eo-01
nat-even
/
odd-div2
nat-basic
/
add-base
nat-even
/
Odd
nat-basic
/
l