Theorems · Theorem · combinatorics
Fin.equiv_iff_eq
∀ {n m : ℕ}, Nonempty (Fin m ≃ Fin n) ↔ m = n- Defined in
- Mathlib.Data.Fin.Embedding
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 30 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
- Equiv.symmproof · cited by 3,681
- le_antisymmproof · cited by 2,068
- Equiv.reflproof · cited by 274
- Equiv.toEmbeddingproof · cited by 254
- Fin.nonempty_embedding_iffproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- FinEnum.card_eq_fintypeCardproof · cited by 4
- IsCyclotomicExtension.discr_prime_powproof · cited by 3
- Finset.card_eq_of_equiv_finproof · cited by 2
- FinEnum.card_finproof · cited by 1
- FintypeCat.Skeleton.is_skeletalproof · cited by 1
- Affine.Simplex.ninePointCircle_reindexproof · cited by 0
- Affine.Simplex.eulerPoint_reindexproof · cited by 0
- FinEnum.card_uliftproof · cited by 0