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Proof step 8 from proof reach-n-next-legal (previous step)

r ∈ H, legal(H), reachable-n(H, n, r, r0) ⊦ H[r0] .nxt = null, r = null, r0 ≠ null ∧ H[r0] .nxt ≠ null ∧ r0 ∈ H ∧ H[r0] .nxt ∈ H ∧ H[r0] .nxt = H[r0] .nxt

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ legal(H) ∧ r ∈ H ∧ H[r] .nxt ≠ null → (¬ H[r] .nxt ∈ H ↔ false)
Proof step 7:
r ∈ H, legal(H), reachable-n(H, n, r, r0) ⊦ H[r0] .nxt = null, r = null, r0 ≠ null ∧ r0 ∈ H

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]