Theorems · Definition · combinatorics
Equiv.restrictPreimageFinset
{α : Type u} → {β : Type v} → (e : α ≃ β) → (s : Finset β) → ↥(s.preimage ⇑e ⋯) ≃ ↥sGiven an equivalence e : α ≃ β and s : Finset β, restrict e to an equivalence
from e ⁻¹' s to s.
- Defined in
- Mathlib.Data.Finset.Preimage
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Equivstatement and proof · cited by 8,337
- SetLike.coestatement · cited by 8,199
- Set.preimagestatement · cited by 4,946
- Equiv.symmproof · cited by 3,681
- Equiv.injectivestatement · cited by 464
- Function.Injective.injOnstatement · cited by 280
- Finset.preimagestatement and proof · cited by 108
Cited by4
Results whose statement or proof uses this declaration.
- Finset.restrict_comp_piCongrLeftstatement · cited by 1
- MeasureTheory.Measure.infinitePiNat_map_piCongrLeftproof · cited by 1
- Equiv.restrictPreimageFinset_apply_coestatement and proof · cited by 0
- Equiv.restrictPreimageFinset_symm_apply_coestatement and proof · cited by 0