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Theorem gc-heap-in

⊦ key-index(n0, n1) ∈ gc-heap(lpt, nx) ↔ n1 < # lpt ∧ ¬ n1 ∈ nx ∧ lpt[n1].ref-size = n0 ∧ lpt[n1].flags = LP_GROUP_NODES

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: persistence-refine, persistence-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: gc-heap-in-h, gc-heap,
Used spec theorems:
- Used simplifier rules:
  - lprops/elim
  - nat/ler
  - nat-basic/f
  - elem-index/gc-heap-base/sel-01-M01
  - elem-index/gc-heap-base/sel-01-M03
  - nat/le-def
  - oelem/nat-set/irreflexivity