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Proof step 5 from proof ex1-shiftw-inst (previous step)

((_∃ rP -* P))(H1), P0(H0), H1 ⊥ H0 ⊦ (((rP(r) -* P) * P0))(H1 ∪ H0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ P0(H0) ∧ P1(H1) ∧ H0 ⊥ H1 → ((P0 * P1))(H0 ∪ H1)
Proof step 7:
((_∃ rP -* P))(H1), P0(H0), H1 ⊥ H0 ⊦ (((rP(r) -* P) * P0))(H1 ∪ H0), ((rP(r) -* P))(H1) ∧ P0(H0) ∧ H1 ⊥ H0

Rule argument

spec: heap-sep name: split-union seq: ⊦ P0(H0) ∧ P1(H1) ∧ H0 ⊥ H1 → ((P0 * P1))(H0 ∪ H1) subst: [H1, H0, P1, P0] → [H0, H1, P0, rP(r) -* P] flags: <all paths>

Additional information

Used terms: H0, H1, P0, rP(r) -* P