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unnecessary variables
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Mathlib/Data/Set/Finite/Lattice.lean

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -421,7 +421,7 @@ theorem Finite.biSup_iInf_eq {ι} {κ : ι → Sort*} [Nonempty (∀ a, κ a)] [
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rintro rfl
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exact ha ha'
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theorem _root_.iInf_iSup_eq_of_finite {α ι} {κ : ι → Sort*} [Order.Frame α] [Finite ι]
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theorem _root_.iInf_iSup_eq_of_finite {κ : ι → Sort*} [Order.Frame α] [Finite ι]
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{f : ∀ a, κ a → α} : ⨅ a, ⨆ b, f a b = ⨆ g : ∀ a, κ a, ⨅ a, f a (g a) := by
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by_cases h : ∀ a, Nonempty (κ a)
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· simpa [← Equiv.plift.symm.iInf_comp, ← (Equiv.plift.piCongrLeft' _).symm.iSup_comp]
@@ -431,7 +431,7 @@ theorem _root_.iInf_iSup_eq_of_finite {α ι} {κ : ι → Sort*} [Order.Frame
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rcases h with ⟨a, h⟩
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grw [iSup_of_empty, eq_bot_iff, iInf_le _ a, iSup_of_empty]
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theorem _root_.iSup_iInf_eq_of_finite {α ι} {κ : ι → Sort*} [Order.Coframe α] [Finite ι]
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theorem _root_.iSup_iInf_eq_of_finite {κ : ι → Sort*} [Order.Coframe α] [Finite ι]
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{f : ∀ a, κ a → α} : ⨆ a, ⨅ b, f a b = ⨅ g : ∀ a, κ a, ⨆ a, f a (g a) := by
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by_cases h : ∀ a, Nonempty (κ a)
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· simpa [← Equiv.plift.symm.iSup_comp, ← (Equiv.plift.piCongrLeft' _).symm.iInf_comp]

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