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Theorem lift-unknown

⊦ (r ==>_ * hR)[rs, f, g] ↔ (∃ a. (a[r =>_] * hR)[rs, f, g])

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 31
Proof steps: 58
Used lemmas: lift-ex-o, lift-aux,
Used spec theorems:
Used simplifier rules:
- heap-sep/heap-aux-inst/sep-com
- heap-sep/heap-aux-inst/sep-ass
- heap-aux/ex3-shift-01
- maplet/ex3
- heap-aux/at-mk-M02
- heap-aux/at-mk-M01
- heap-aux/in-mk
- set-basic/refset/size-zero-01
- set-basic/refset/ne-01
- heap/heap-aux-inst/in-alloc
- heap/heap-aux-inst/in-emp
- heap-aux/at-write-M02
- heap-aux/at-write-M01
- heap-aux/in-write
- heap/in-alloc
- heap/in-emp
- heap/at-write
- heap-fun/at-mk
- heap-fun/in-mk
- heap/in-write
- heap-aux/ex3-03