Theorems · Theorem · number theory
ZMod.inv_mul_of_unit
∀ {n : ℕ} (a : ZMod n), IsUnit a → a⁻¹ * a = 1- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- IsUnitstatement and proof · cited by 1,602
- ZModstatement and proof · cited by 1,024
- ZMod.mul_inv_of_unitproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- ArithmeticFunction.vonMangoldt.eqOn_LFunctionResidueClassAuxproof · cited by 2
- ZMod.inv_eq_of_mul_eq_oneproof · cited by 1
- ZMod.inv_mul_eq_one_of_isUnitproof · cited by 1
- ZMod.isUnit_invproof · cited by 0