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1 parent e18c65c commit 3c4d8e5Copy full SHA for 3c4d8e5
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Mathlib/SetTheory/ZFC/Basic.lean
@@ -408,7 +408,7 @@ theorem omega_succ {x} : x ∈ omega.{u} → insert x x ∈ omega.{u} := by
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exact ⟨n + 1, by simp⟩
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/-- `omega` is the smallest inductive set. -/
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-theorem subset_omega {x} : ∅ ∈ x → (∀ y ∈ x, insert y y ∈ x) → omega ⊆ x := by
+theorem omega_subset {x} : ∅ ∈ x → (∀ y ∈ x, insert y y ∈ x) → omega ⊆ x := by
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intro _ _ _ h
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rw [mem_omega] at h
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rcases h with ⟨n, rfl⟩
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