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Theorems · Theorem · order theory

Set.Finite.finite_of_compl

∀ {α : Type u} {s : Set α}, s.Finite → sᶜ.Finite → Finite α
Defined in
Mathlib.Data.Set.Finite.Basic
Cited by
1 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

finite_of_fin_dim_affineIndependent · cited by 1finite_of_fin_dim_affineI…Set · cited by 53352SetFinite · cited by 3029FiniteCompl.compl · cited by 2925Compl.complSet.Finite · cited by 1814Set.FiniteSet.Finite.union · cited by 74Finite.unionSet.union_compl_self · cited by 57Set.union_compl_selfSet.finite_univ_iff · cited by 10Set.finite_univ_iffFinite.finite_of_complCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.