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Theorem btree-inv-remove-refsize0

¬ dirty ∨ rp = null ⊦ inv(istore) ∧ inv(istore0) ∧ zh[rp] = mkznode(rp0, zbrar, boolvar, dirty, nused) ∧ btree-inv(rp, adr, istore, istore0, zh, ri, fi) ∧ istore0 ⊑ istore → btree-inv(rp, adr, remove-refsize0(istore), remove-refsize0(istore), zh, ri, fi)

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: 11
Proof steps: 21
Used lemmas: btree-reset-root, btree-crash, btree-clean-fwd-strong, btree, btree-istore-reduce-refed, btree-root-in-heap, btree-null-or-clean-below, btree-adrs, btree-refed-subseteq-alladrs, btree-clean-alladrs, btree-inv,
Used spec theorems:
- ablock-store-refsize-cons/index-store/in-remove-refsize0-refsize-cons
- ablock-store-refsize-cons/index-store/remove-refsize0-subset-refed
Used simplifier rules:
- heap/zheap/nonnull
- znode/sel-04
- set-basic/node-store/sub-idem
- ablock-store-refsize-cons/index-store/remove-refsize0-refsize-cons
- ablock-store-refsize-cons/index-store/refsize-cons-remove-refsize0
- ablock-store-refsize-cons/index-store/inv-valid-adrs
- heap-sep/zheap/true-elim
- ablock-nodes/index-store/prefix-imp-nodes-subset
- heap-sep/zheap/sep-com
- heap-sep/zheap/sep-ass