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Proof step 1 from proof ebm-order-write-same (conclusion)

⊦ v ∈ avols0 ∧ avols0 ⊆ avols1 → avols0[v, avols0[v][m, leb]] ⊆ avols1[v, avols1[v][m, leb]]

System applied rule normalize

And obtained the following new goals

Proof step 2:
v ∈ avols0, avols0 ⊆ avols1 ⊦ avols0[v, avols0[v][m, leb]] ⊆ avols1[v, avols1[v][m, leb]]

Rule argument

Additional information