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Theorem at-range
⊦ key ∈ key-range(zbrar, n, nused, ri) ∧ n < nused ∧ nused ≤ # zbrar → key-range(zbrar, n, nused, ri)[key] = ri[key]
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
look-subrange
,
range-put
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 13
Used lemmas:
range-one
,
range-first
,
range-last
,
range-inner
,
Used spec theorems:
node-index-restrict
/
at-le
Used simplifier rules:
nat
/
lels
nat
/
les
nat
/
eqle-one
nat-basic
/
lf-01
nat
/
lep-02
nat-basic
/
s-04
oelem
/nat-set/
irreflexivity
nat-basic
/
zero
nat-basic
/
f
nat
/
succ-01
nat-basic
/
succ
node-index-restrict
/
at-le
nat-basic
/
lf-02
node-index-restrict
/
in-le
nat
/
elim-pred-c
nat
/
fle
nat-basic
/
c
nat-basic
/
a
nat-basic
/
oz
node-index-restrict
/
at-gt
node-index-restrict
/
in-gt