Theorems · Theorem · combinatorics
Finset.card_eq_of_equiv_fin
∀ {α : Type u_1} {s : Finset α} {n : ℕ} (i : ↥s ≃ Fin n), s.card = n- Defined in
- Mathlib.Data.Fintype.EquivFin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Equivstatement and proof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- Finset.cardstatement · cited by 2,327
- Equiv.transproof · cited by 337
- Finset.equivFinproof · cited by 15
- Fin.equiv_iff_eqproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Finset.card_eq_of_equiv_fintypeproof · cited by 4
- DirectSum.IsInternal.card_filter_subordinateOrthonormalBasisIndex_eqproof · cited by 0