Theorems · Theorem · combinatorics
Finset.map_insert
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq α] [inst_1 : DecidableEq β] (f : α ↪ β) (a : α) (s : Finset α),
Finset.map f (insert a s) = insert (f a) (Finset.map f s)- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 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.
Cites6
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 and proof · cited by 747
- Finset.map_singletonproof · cited by 15
- Finset.map_unionproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- SkewPolynomial.support_updateproof · cited by 1
- Nat.Prime.divisors_sqproof · cited by 0