Theorems · Definition · order theory
Fin.castOrderIso
{m n : ℕ} → n = m → Fin n ≃o Fin mFin.cast as an OrderIso.
castOrderIso eq i embeds i into an equal Fin type.
- Defined in
- Mathlib.Order.Fin.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- OrderIsostatement · cited by 874
- Fin.rightInverse_castproof · cited by 3
- Fin.cast_le_castproof · cited by 0
- Fin.leftInverse_castproof · cited by 0
Cited by12
Results whose statement or proof uses this declaration.
- Finset.orderIsoOfFinproof · cited by 7
- SimplexCategory.eqToHom_toOrderHomstatement · cited by 5
- Fin.castOrderIso_applystatement and proof · cited by 4
- AugmentedSimplexCategory.inl'_evalproof · cited by 3
- AugmentedSimplexCategory.eqToHom_toOrderHomstatement · cited by 3
- AugmentedSimplexCategory.inr'_evalproof · cited by 3
- Finset.orderEmbOfFin_compl_singletonstatement and proof · cited by 2
- Fin.symm_castOrderIsostatement and proof · cited by 0
- Fin.castOrderIso.congr_simpstatement and proof · cited by 0
- Fin.castOrderIso_reflstatement · cited by 0
- Fin.castOrderIso_symm_applystatement and proof · cited by 0
- Fin.castOrderIso_toEquivstatement and proof · cited by 0