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Theorem union-left-singleton-at

r ≠ null, ¬ r ∈ h ⊦ ((∅ ++ r)[r, o] ∪ h)[r] = o

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: 1
Proof steps: 2
Used lemmas: at-write, disj-singleton-write, in-alloc, in-emp, in-write, in-uni, at-uni,
Used spec theorems:
- Used simplifier rules: