Theorems · Theorem · number theory
ZMod.val_cast_of_lt
∀ {n a : ℕ}, a < n → (↑a).val = a- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModstatement · cited by 1,024
- ZMod.valstatement · cited by 159
- ZMod.val_natCastproof · cited by 18
Cited by5
Results whose statement or proof uses this declaration.
- ZMod.wilsons_lemmaproof · cited by 2
- IsCyclotomicExtension.fromZetaAut_specproof · cited by 0
- ZMod.Ico_map_valMinAbs_natAbs_eq_Ico_map_idproof · cited by 0
- ZMod.sum_mul_div_add_sum_mul_div_eq_mulproof · cited by 0
- ZMod.val_cast_zmod_ltproof · cited by 0