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Proof step 24 from proof rm-allsize (previous step)

rmdup(z) = y + a ' + z0, a ∈ z, ∀ a0. a0 ≠ a → (a0 ∈ x0 ↔ a0 ∈ y0 ∨ a0 ∈ z), ∀ y. (∀ a. a ∈ x0 ↔ a ∈ y) → # rmdup(x0) = # rmdup(y) ⊦ 1 + # rmdup(x0) = # rmdup(y0 + rmdup(z)), a ∈ x0, a ∈ y0, a ∈ y, a ∈ z0

User applied rule insert equation

And obtained the following new goals

Proof step 25:
rmdup(z) = y + a ' + z0, a ∈ z, ∀ y. (∀ a. a ∈ x0 ↔ a ∈ y) → # rmdup(x0) = # rmdup(y), ∀ a0. a0 ≠ a → (a0 ∈ x0 ↔ a0 ∈ y0 ∨ a0 ∈ z) ⊦ 1 + # rmdup(x0) = # rmdup(y0 + y + a ' + z0), a ∈ z0, a ∈ y, a ∈ y0, a ∈ x0

Rule argument

pos: left 1 flags:

Proof step 24 from proof rm-allsize (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information