Theorems · Theorem · number theory
ZMod.intCast_zmod_cast
∀ {n : ℕ} (a : ZMod n), ↑a.cast = aSo-named because the outer coercion is Int.cast into ZMod. For Int.cast into an arbitrary
ring, see ZMod.intCast_cast.
- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 10 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.
Cites5
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
- Int.cast_natCastproof · cited by 393
- ZMod.valproof · cited by 159
- ZMod.caststatement · cited by 87
- ZMod.natCast_zmod_valproof · cited by 29
Cited by12
Results whose statement or proof uses this declaration.
- ZMod.liftproof · cited by 5
- ZMod.lift_coeproof · cited by 3
- Int.quotientZMultiplesNatEquivZModproof · cited by 2
- ZMod.intCast_rightInverseproof · cited by 2
- ZMod.lift_castAddHomproof · cited by 1
- IsPGroup.smul_mul_inv_trivial_or_surjectiveproof · cited by 1
- ZMod.smul_memproof · cited by 0
- ZMod.intCast_cast_addproof · cited by 0
- ZMod.intCast_cast_mulproof · cited by 0
- ZMod.intCast_cast_negproof · cited by 0
- ZMod.intCast_cast_subproof · cited by 0
- ZMod.map_smulproof · cited by 0