Theorems · Theorem · combinatorics
Finset.singleton_injective
∀ {α : Type u_1}, Function.Injective singleton- Defined in
- Mathlib.Data.Finset.Insert
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.mem_singletonproof · cited by 103
- Finset.mem_singleton_selfproof · cited by 44
Cited by14
Results whose statement or proof uses this declaration.
- Finpartition.card_botproof · cited by 3
- Finpartition.equitabilise_auxproof · cited by 3
- Finset.singleton_injproof · cited by 2
- Finset.powersetCard_onestatement and proof · cited by 2
- ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeriesproof · cited by 1
- MultilinearMap.map_add_eq_map_add_linearDeriv_addproof · cited by 1
- Finset.isAddUnit_iffproof · cited by 1
- Finpartition.nonUniforms_botproof · cited by 1
- Finpartition.bot_isEquipartitionproof · cited by 1
- Finpartition.parts_botstatement · cited by 0
- MvPolynomial.esymm_oneproof · cited by 0
- Set.powersetCard.mulActionHom_singleton_bijectiveproof · cited by 0