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Theorem aux-known

⊦ (a0[r => o] * hR)[rs, f, g] ↔ (a1[r => o] * hR)[rs, f, g(r; a1)] ∧ g(r) = a0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 32
Proof steps: 64
Used lemmas: map-in0, switch-aux, lift-aux,
Used spec theorems:
Used simplifier rules:
- heap/in-alloc
- heap/in-emp
- heap/at-write
- heap-fun/at-mk
- heap-fun/in-mk
- heap/in-write
- set-union/refset/int-empty-02
- set-union/refset/int-c
- set-union/refset/int-a
- maplet/maplet-singleton-heap