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Theorem split-union
⊦ P0(H0) ∧ P1(H1) ∧ H0 ⊥ H1 → (¬ (P0 * P1)(H0 ∪ H1) ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Frame
,
Imp2
,
adjunction
,
and-imp
,
and-split
,
imp-mono
,
introduce-sharing
,
precise-split-l
,
precise-split-r
,
prop-sep
,
sep-ass
,
sep-com
,
stability
,
true-elim
,
Used by units in proved state:
embed-aux
,
iter-store
,
separation-rg
,
iter-set
,
heap-fun
,
maplet
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas:
sep
,
Used spec theorems:
Used simplifier rules: