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Proof step 18 from proof put-sw-in (previous step)

m0 < # x0, m1 < # x0, ∀ m, n, a. m < # x0 ∧ n < # x0 → (a ∈ x0[m, x0[n]][n, x0[m]] ↔ a ∈ x0) ⊦ x0 = [], a ∈ x0[m1, x0[m0]][m0, x0[m1]] ↔ a ∈ x0, a = a0

User applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: m1, m0, a abort: F discard: F computed: T

Additional information

Used terms: m1, m0, a