Theorems · Theorem · combinatorics
Finset.map_erase
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] [inst_1 : DecidableEq α] (f : α ↪ β) (s : Finset α) (a : α),
Finset.map f (s.erase a) = (Finset.map f s).erase (f a)- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Function.Embeddingstatement and proof · cited by 988
- Finset.mapstatement · cited by 747
- Finset.erasestatement and proof · cited by 455
- Finset.map_eq_imageproof · cited by 50
- Function.Embedding.inj'proof · cited by 29
- Finset.image_eraseproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Finset.prod_erase_attachproof · cited by 3
- SkewPolynomial.support_updateproof · cited by 1
- SkewPolynomial.support_eraseproof · cited by 1
- Affine.Simplex.mongePlane_reindexproof · cited by 0
- Finset.sum_erase_attachproof · cited by 0