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Theorem gc-heap-ididx-h

m ≤ # lpt1 ⊦ id-idx(lpt0, lpt1) → gc-heap(lpt1, nx, m) = gc-heap(lpt0, nx, m)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas: gc-heap-rec, gc-heap-base,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/c
  - nat-basic/a
  - nat/succ-01
  - nat-basic/succ
  - lprops/elim
  - gc-heap-rename/id-idx-imp-ls-1
  - nat-basic/f
  - set-union/gc-heap-rename-gc-heap-base-keyindex-set/One
  - nat/lels-03
  - gc-heap-rename/id-idx-fwd-0