Theorems · Theorem · logic and foundations
Cardinal.mk_compl_finset_of_infinite
∀ {α : Type u_1} [Infinite α] (s : Finset α), Cardinal.mk ↑(↑s)ᶜ = Cardinal.mk α- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemstatement · cited by 7,166
- Compl.complstatement · cited by 2,925
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement · cited by 942
- LT.lt.trans_leproof · cited by 678
- Infinitestatement and proof · cited by 352
- Cardinal.aleph0_le_mkproof · cited by 32
- Cardinal.mk_compl_of_infiniteproof · cited by 3
- Cardinal.finset_card_lt_aleph0proof · cited by 3
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