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Theorem aligndown-simp
⊦ m < EB_PAGE_SIZE ∧ EB_PAGE_SIZE ≤ n + m → (align↓(m + n, EB_PAGE_SIZE) < m ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
inv-write-buf
,
Used by units in proved state:
wbuf-refine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas:
Used spec theorems:
align
/
aligndown-def
Used simplifier rules:
nat-basic
/
l-01
nat-basic
/
succ
nat-div
/
mod-eq
nat-basic
/
z-01
nat-basic
/
one-03
nat-basic
/
zero
oelem
/nat-set/
transitivity
nat-basic
/
lf
nat-basic
/
one
nat-mult
/
ls-08
nat-mult
/
ls-01
nat-mult
/
zero
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic
/
add-base
nat-basic
/
a
nat-basic
/
c
eraseblock
/
page-size
nat-basic
/
lf-02
nat
/
fle
nat-basic
/
f
nat
/
le-ls-simp
nat-div
/
div-elim