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Proof step 91 from proof map-path (conclusion)

⊦ reachset(r0, H) ⊆ dom map ∧ inj(map) ∧ closed(H) → (path(x, r0, r1, H) ↔ path(x, map[r0], map[r1], apply(H, map)) ∧ r0 ∈ map ∧ r1 ∈ map)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 90:
closed(H), inj(map), reachset(r0, H) ⊆ dom map ⊦ path(x, r0, r1, H) ↔ path(x, map[r0], map[r1], apply(H, map)) ∧ r0 ∈ map ∧ r1 ∈ map

Rule argument

Additional information

[Concretesimprules(())]