Theorems · Theorem · order theory
Fin.succAbove_last
∀ {n : ℕ}, (Fin.last n).succAbove = Fin.castSuccEmbedding Fin n into Fin (n + 1) with a hole around last n embeds by castSucc.
- Defined in
- Mathlib.Data.Fin.SuccPred
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fin.succAbovestatement · cited by 249
- Fin.succAbove_of_castSucc_ltproof · cited by 39
Cited by14
Results whose statement or proof uses this declaration.
- Fin.sum_univ_castSuccproof · cited by 20
- Fin.prod_univ_castSuccproof · cited by 10
- Fin.insertNth_lastproof · cited by 1
- card_linearIndependentproof · cited by 1
- Fin.succAbove_last_applyproof · cited by 1
- Fin.image_castSuccproof · cited by 1
- SimplexCategory.eq_comp_δ_of_not_surjective'proof · cited by 1
- Polynomial.resultant_succ_left_degproof · cited by 1
- SimplexCategory.II.map'_succAboveOrderEmbproof · cited by 1
- Fin.removeNth_lastproof · cited by 0
- finSuccAboveEquiv_symm_apply_lastproof · cited by 0
- finSuccAboveOrderIso_symm_apply_lastproof · cited by 0