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Theorem align-down-app-same
⊦ (buf0 + buf1).align↓ = buf0.align↓ ↔ # buf0 % EB_PAGE_SIZE + # buf1 < EB_PAGE_SIZE
Type: A user defined theorem
Validity: The proof is valid.
Features: s,
Comment:
Used by:
align-down-app-left
,
Used by units in proved state:
awbuf-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 10
Proof steps: 18
Used lemmas:
down-arrow-buf
,
Used spec theorems:
array
/buffer/
Extension
array-copy
/buffer/
subarray-at
align
/
aligndown-def
Used simplifier rules:
array-splice
/buffer/
append-len
nat-basic
/
l
align
/
aligndown-is-zero
array-copy
/buffer/
subarray-at
align
/
aligndown-add-same
array-copy
/buffer/
size-subarray
align
/
aligndown-is-smaller
nat-basic
/
lf
nat-basic
/
trans
array-splice
/buffer/
append-at1
array-splice
/buffer/
append-a
align
/
aligndown-same
array-splice
/buffer/
append-at2
nat
/
fle
nat
/
le-ls-simp
nat-basic
/
l-01
nat
/
lels
nat-div
/
div-elim
nat-mult
/
zero-06
nat-mult
/
zero-01
nat-basic
/
add-base
nat-basic
/
zero
nat
/
fle-01
nat-basic
/
f
eraseblock
/
page-size
nat-mult
/
ls
nat-mult
/
modeq
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic
/
a
nat-basic
/
c
nat-basic
/
lf-02
nat-basic
/
lf-01
nat-basic
/
ls-02