Theorems · Theorem · number theory
ZMod.cast_id
∀ (n : ℕ) (i : ZMod n), i.cast = i
- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 7 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 and proof · cited by 1,024
- ZMod.caststatement and proof · cited by 87
- ZMod.natCast_zmod_valproof · cited by 29
Cited by7
Results whose statement or proof uses this declaration.
- ZMod.cast_id'proof · cited by 10
- ZMod.val_intCastproof · cited by 5
- PadicInt.pow_dvd_nthHom_subproof · cited by 2
- ZMod.intCast_eq_iffproof · cited by 2
- ZMod.wilsons_lemmaproof · cited by 2
- IsCyclotomicExtension.Rat.galEquivZMod_restrictNormal_applyproof · cited by 1
- Nat.fermat_primeFactors_one_ltproof · cited by 0