Theorems · Theorem · combinatorics
Fintype.card_eq
∀ {α : Type u_4} {β : Type u_5} [_F : Fintype α] [_G : Fintype β], Fintype.card α = Fintype.card β ↔ Nonempty (α ≃ β)- Defined in
- Mathlib.Data.Fintype.EquivFin
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Equivstatement and proof · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Fintype.cardstatement and proof · cited by 1,386
- Fintype.card_congrproof · cited by 67
- Trunc.nonemptyproof · cited by 2
- Fintype.truncEquivOfCardEqproof · cited by 1
Cited by19
Results whose statement or proof uses this declaration.
- Fintype.card_eq_one_iffproof · cited by 11
- Fintype.card_zpowersproof · cited by 5
- Polynomial.natSepDegree_expandproof · cited by 4
- Fintype.card_zmultiplesproof · cited by 3
- DihedralGroup.cardproof · cited by 2
- Affine.Simplex.mongePoint_reindexproof · cited by 2
- Affine.Simplex.faceOppositeCentroid_reindexproof · cited by 2
- Finset.exists_equiv_extend_of_card_eqproof · cited by 1
- Affine.Simplex.centroid_reindexproof · cited by 1
- QuaternionGroup.cardproof · cited by 1
- Equiv.Perm.subtypeCongrHom.card_rangeproof · cited by 0
- Matrix.mul_eq_one_comm_of_card_eqproof · cited by 0