Theorems · Theorem · number theory
nsmul_zmod_val_inv_nsmul
∀ {α : Type u_1} [inst : AddGroup α] {n : ℕ}, (Nat.card α).gcd n = 1 → ∀ (a : α), n • (↑n)⁻¹.val • a = a- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- ZModstatement and proof · cited by 1,024
- Nat.cardstatement and proof · cited by 844
- Nat.cast_mulproof · cited by 309
- ZMod.valstatement and proof · cited by 159
- one_nsmulproof · cited by 63
- ZMod.val_natCastproof · cited by 18
- mul_nsmul'proof · cited by 8
- ZMod.val_one_eq_one_modproof · cited by 3
- ZMod.mul_val_invproof · cited by 3
- mod_natCard_nsmulproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- zmod_val_inv_nsmul_nsmulproof · cited by 0