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Theorem ADD-lemma

N = N0, V = V0 ⊦ ⟪ADD(S; V, N)⟫ (N = N0 ∪ (S \ V0) ∧ V = V0 ∪ S)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment: ADD essentially executes N := N ∪ (S \ V), V := V ∪ S.
Used by: ADD-preserves-INV, ADD-preserves-INV-INVR,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 29
Used lemmas: decl-01,
Used spec theorems:
- set-union/subdef
- set-union/ext
Used simplifier rules: