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Theorem union-left-singleton

r ≠ null ⊦ r ∈ h → (∅ ++ r)[r, h[r]] ∪ (h -- r) = h

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: at-del, at-write, at-uni, in-emp, in-alloc, in-write, in-del, disj-singleton-write, in-uni, nonnull, ext,
Used spec theorems:
- Used simplifier rules: