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Theorem subarray-up-same
⊦ n < # ar → subarray(ar[n := a], 0, n) = subarray(ar, 0, n)
Type: A user defined theorem
Validity: The proof is valid.
Features: s,
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: 5
Used lemmas:
copy-exact
,
at-copy
,
size-copy
,
Subarray
,
Used spec theorems:
array
/
Extension
Used simplifier rules:
nat-basic
/
f
nat-basic
/
succ
nat-basic
/
trans-nat
nat-basic
/
lf
array
/
Size-mkarray
array
/
ngp-07
nat-basic
/
less-zero
nat
/
ls-le-simp
nat-basic
/
add-base
nat-basic
/
a
nat-basic
/
c
nat
/
sub-base
array
/
Size-put
nat
/
lels