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Theorem inv-orphans-insert
jro < jmaxino, pmaxino ≤ jmaxino, fi.inos < jmaxino, jmaxino ≠ 0, key.inode? ⊦ ⟪gjournal_orphans_insert#(key; jmaxino, jro)⟫ (jro < jmaxino ∧ pmaxino ≤ jmaxino ∧ fi.inos < jmaxino ∧ jmaxino ≠ 0)
Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 6
Used lemmas:
orphans-insert
,
Used spec theorems:
Used simplifier rules:
gjournal-base
/
natset-ls-add-max-ls
nat-basic
/
a
nat-basic
/
c
gjournal-base
/
natset-ls-max-ls
nat
/
le-def
nat
/
fle
nat-basic
/
f
min-max
/
max-notls2
min-max
/
max-eq-0
nat-basic
/
oz