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Theorem write-left

⊦ r ∈ H0 ∧ H0 ⊥ H1 → (H0 ∪ H1)[r, o] = H0[r, o] ∪ H1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: uni-write, disj-com-rw, nonnull, disj-r, in-write, disj, uni-com,
Used spec theorems:
- Used simplifier rules: