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Proof step 1 from proof ex1-shift (conclusion) (back to tree)

⊦ (_∃ rhP * hP)[rs, f] ↔ (∃ r. (rhP(r) * hP)[rs, f])

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: apply: ⊦ hP[rs, f] ↔ hP(mk(rs, f)); sep-com: ⊦ hP0 * hP1 = hP1 * hP0; from specification heap-sep sep-ass: ⊦ (hP0 * hP1) * hP2 = hP0 * hP1 * hP2; from specification heap-sep ⊦ ((_∃ rP * hP))(h) ↔ (∃ r. ((rP(r) * hP))(h)); (s)

Proof Tree for ex1-shift (View conclusion)

The following image shows the proof tree of sequent calculus. The proved goal is at the bottom. You can click on the nodes to view additional rules. See here for details on colors in a proof tree.

the proof tree