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Proof step 1 from proof lstepf-I15-b (conclusion) (back to tree)

⊦ ls.tid = tid ∧ ls.b → lstepf(gs, ls, I15, retINSERT(tid, true)) = ls

System applied rule normalize

And obtained the following new goals

Proof step 2:
ls.tid = tid, lstepf(gs, ls, I15, retINSERT(tid, true)) ≠ ls, ls.b ⊦

Rule argument

Additional information

Proof step 2 from proof lstepf-I15-b (previous step) (back to tree)

ls.tid = tid, lstepf(gs, ls, I15, retINSERT(tid, true)) ≠ ls, ls.b ⊦

User applied rule apply lemma

And obtained the following new goals

Proof step 3:
⊦ ls.tid = tid → lstepf(gs, ls, I15, retINSERT(tid, ls.b)) = ls

Rule argument

spec: <toplevel>, name:lstepf-I15, seq: ⊦ ls.tid = tid → lstepf(gs, ls, I15, retINSERT(tid, ls.b)) = ls, subst:[gs, ls, tid] → [gs, ls, tid]

Additional information

Used terms: gs, ls, tid

Proof step 3 from proof lstepf-I15-b (previous step) (back to tree)

⊦ ls.tid = tid → lstepf(gs, ls, I15, retINSERT(tid, ls.b)) = ls

Lemma lstepf-I15

Proof Tree for lstepf-I15-b (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.