Finite intervals in Fin n
#
This file proves that Fin n
is a LocallyFiniteOrder
and calculates the cardinality of its
intervals as Finsets and Fintypes.
Locally finite order etc instances #
Equations
- One or more equations did not get rendered due to their size.
@[simp]
@[simp]
@[simp]
@[simp]
@[simp]
@[simp]
@[simp]
@[simp]
@[simp]
@[deprecated Fin.attachFin_Icc (since := "2025-04-06")]
@[deprecated Fin.attachFin_Ico (since := "2025-04-06")]
@[deprecated Fin.attachFin_Ioc (since := "2025-04-06")]
@[deprecated Fin.attachFin_Ioo (since := "2025-04-06")]
@[deprecated Fin.attachFin_uIcc (since := "2025-04-06")]
@[deprecated Fin.attachFin_Ico_eq_Ici (since := "2025-04-06")]
@[deprecated Fin.attachFin_Ioo_eq_Ioi (since := "2025-04-06")]
@[deprecated Fin.attachFin_Iic (since := "2025-04-06")]
@[deprecated Fin.attachFin_Iio (since := "2025-04-06")]
@[simp]
@[simp]
@[simp]
@[simp]
@[simp]
@[deprecated Fin.map_valEmbedding_uIcc (since := "2025-04-08")]
Alias of Fin.map_valEmbedding_uIcc
.
@[simp]
@[simp]
@[simp]
@[simp]
@[simp]
@[deprecated Fintype.card_Icc (since := "2025-03-28")]
@[deprecated Fintype.card_Ico (since := "2025-03-28")]
@[deprecated Fintype.card_Ioc (since := "2025-03-28")]
@[deprecated Fintype.card_Ioo (since := "2025-03-28")]
@[deprecated Fintype.card_uIcc (since := "2025-03-28")]
@[deprecated Fintype.card_Ici (since := "2025-03-28")]
@[deprecated Fintype.card_Ioi (since := "2025-03-28")]
@[deprecated Fintype.card_Iic (since := "2025-03-28")]
@[deprecated Fintype.card_Iio (since := "2025-03-28")]