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Theorem inv-add-gnds

btree-inv(rp, adr, istore, istore0, zh, ri, fi), inv-journal(nx, gstore, gstore0, ginval), inv-index(istore, istore0), inv-state(pstate, nx, gstore, istore, syn), nx ≠ [], pstate.journal? ⊦ ⟪btree_add_gnds#(gndx, adr, istore, istore0, ginval, gstore0, nx, maxino, ginval0; ax, gstore, pstate, syn; err)⟫ (inv-journal(nx, gstore, gstore0, ginval) ∧ inv-state(pstate, nx, gstore, istore, syn))

Type: A proof obligation
Validity: The proof is INVALID because - it uses invalid symbols - the goal has changed - the used lemmas [add-gnds] have changed
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 8
Used lemmas: add-gnds,
Used spec theorems:
- Unknown/Unknown
Used simplifier rules:
- persistence-state/test-10
- apersistence-base/fwd-inv-loghead
- apersistence-base/fwd-in-gstore-loghead
- set-union/nat-set/unc
- set-union/nat-set/una
- set-union/nat-set/int-c
- set-union/nat-set/int-a
- persistence-state/elim-01
- apersistence-base/inv-state
- persistence-state/test-09
- persistence-state/sel-01
- persistence-state/test-03
- persistence-state/disj-02
- apersistence-base/inv-journal
- apersistence-base/inv-index