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Proof step 13 from proof del-addeq (previous step)

a0 = a ∨ a0 ∈ s0, ∀ a0. a0 ≠ b ∧ a0 ∈ s ↔ a0 ∈ s0 ⊦ a0 ≠ b ∧ (a0 = a ∨ a0 ∈ s), a = b, a ∈ s0, a ∈ s

User applied rule all left

And obtained the following new goals

Proof step 14:
a0 = a ∨ a0 ∈ s0, a0 ≠ b ∧ a0 ∈ s ↔ a0 ∈ s0, ∀ a0. a0 ≠ b ∧ a0 ∈ s ↔ a0 ∈ s0 ⊦ a0 ≠ b ∧ (a0 = a ∨ a0 ∈ s), a = b, a ∈ s0, a ∈ s

Rule argument

pos: left 2 terms: a0 abort: F discard: F computed: T

Additional information

Used terms: a0