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

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

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 1 flags: discard

Additional information

Used simplifier rules: in-append: ⊦ a ∈ x + y ↔ ¬ ¬(a ∈ x ∨ a ∈ y); from specification list%in-rec: ⊦ a ∈ b ' + x ↔ ¬ ¬(a = b ∨ a ∈ x); from specification list%a: ⊦ (x + y) + z = x + y + z; from specification list