Theorems · Theorem · combinatorics
Finset.card_eraseNone_eq_card_erase
∀ {α : Type u_1} [inst : DecidableEq (Option α)] (s : Finset (Option α)),
(Finset.eraseNone s).card = (s.erase none).card- Defined in
- Mathlib.Data.Finset.Option
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Finset.cardstatement and proof · cited by 2,327
- OrderHomstatement · cited by 934
- Finset.erasestatement and proof · cited by 455
- Finset.card_mapproof · cited by 114
- Function.Embedding.someproof · cited by 43
- Finset.eraseNonestatement · cited by 21
- Finset.map_some_eraseNoneproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Finset.card_eraseNone_leproof · cited by 0
- Finset.card_eraseNone_of_memproof · cited by 0
- Finset.card_eraseNone_of_not_memproof · cited by 0