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Proof step 40 from proof rm-allsize (previous step)

rmdup(z) = y + a ' + z0, a ∈ z, a0 ∈ y ∨ a0 ∈ z0 ⊦ # rmdup(x0) = # rmdup((y0 + y) + z0), a ∈ z0, a ∈ y, a ∈ y0, a ∈ x0, a0 ∈ x0, a0 ∈ z, a0 ∈ y0, a0 ∈ rmdup(z)

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 1 flags: discard

Additional information

Used simplifier rules: ⊦ a ∈ x + y ↔ a ∈ x ∨ a ∈ y; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list