Theorems · Theorem · number theory
ZMod.natCast_self
∀ (n : ℕ), ↑n = 0
- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 60 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.
- ZModstatement and proof · cited by 1,024
- CharP.cast_eq_zeroproof · cited by 357
Cited by15
Results whose statement or proof uses this declaration.
- ZMod.coe_valMinAbsproof · cited by 8
- PadicInt.appr_specproof · cited by 4
- ZMod.mul_inv_eq_gcdproof · cited by 3
- legendreSym.quadratic_reciprocity'proof · cited by 3
- ZMod.orderOf_one_add_mul_prime_powproof · cited by 2
- PadicInt.appr_ltproof · cited by 2
- ZMod.intCast_eq_iffproof · cited by 2
- AddChar.exists_divisor_of_not_isPrimitiveproof · cited by 1
- CongruenceSubgroup.exists_Gamma_le_conjproof · cited by 1
- ZMod.natCast_natAbs_valMinAbsproof · cited by 1
- WittVector.frobeniusPoly_zmodproof · cited by 1
- ZMod.LFunction_eq_LSeriesproof · cited by 1