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Theorem align-down-elim
⊦ buf0 = buf.align↓ ↔ (∃ buf1. buf = buf0 + buf1 ∧ # buf1 < EB_PAGE_SIZE ∧ is-aligned(# buf0, EB_PAGE_SIZE))
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: 2
Proof steps: 6
Used lemmas:
down-arrow-buf
,
Used spec theorems:
array-splice
/buffer/
subarray-append-consec0
Used simplifier rules:
array-splice
/buffer/
subarray-append-left
nat-basic
/
add-base
align
/
align-down-ls-zero
align
/
aligndown-is-aligned-add
array-splice
/buffer/
append-a
array-splice
/buffer/
append-len
align
/
aligndown-is-aligned
nat
/
ls-01
array-copy
/buffer/
size-subarray
nat
/
elim-sub
align
/
aligndown-is-smaller-01
align
/
aligndown-remainder
eraseblock
/
page-size
align
/
aligndown-plus-remainder
nat-basic
/
a
nat-basic
/
c
nat
/
ler
array-copy
/buffer/
subarray-elim
nat
/
lels
align
/
aligndown-add-n
nat
/
le-def
nat-basic
/
ref