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Proof step 10 from proof modnotreachable-reachable-rev (previous step)

r0 ∈ H, (H[r].nxt ' + x0).last ∈ H[r0, ce], path(H[r].nxt ' + x0, H[r0, ce]), r ∈ H, ∀ r2, H0, r3, ce0. r2 ∈ H0 ∧ path(r3 ' + x0, H0[r2, ce0]) → reachable(r3, (r3 ' + x0).last, H0) ∨ reachable(r3, r2, H0) ⊦ r = null, r = r0, reachable(r, (H[r].nxt ' + x0).last, H), reachable(r, r0, H)

User applied rule all left

And obtained the following new goals

Proof step 11:
r0 ∈ H, (H[r].nxt ' + x0).last ∈ H[r0, ce], path(H[r].nxt ' + x0, H[r0, ce]), r ∈ H, r0 ∈ H ∧ path(H[r].nxt ' + x0, H[r0, ce]) → reachable(H[r].nxt, (H[r].nxt ' + x0).last, H) ∨ reachable(H[r].nxt, r0, H) ⊦ r = null, r = r0, reachable(r, (H[r].nxt ' + x0).last, H), reachable(r, r0, H)

Rule argument

pos: left 5 terms: r0, H, H[r].nxt, ce abort: F discard: T computed: T

Additional information

Used terms: r0, H, H[r].nxt, ce