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Theorem prop-sep

⊦ ((⌜bv⌝ ∧ hR0) * hR1)[rs, f, g] ↔ bv ∧ (hR0 * hR1)[rs, f, g]

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: 2
Proof steps: 5
Used lemmas: modifysep-def,
Used spec theorems:
- heap-fun/heap-aux-inst/apply
Used simplifier rules:
- heap-sep/heap-aux-inst/and-com
- heap-sep/heap-aux-inst/and-ass
- heap-sep/heap-aux-inst/true-and
- heap-sep/heap-aux-inst/true-rev
- heap-sep/heap-aux-inst/sep-com
- heap-sep/heap-aux-inst/sep-ass
- heap-sep/heap-aux-inst/prop-shift
- heap-sep/heap-aux-inst/prop
- heap-sep/heap-aux-inst/and