Theorems · Theorem · number theory
ZMod.inv_mul_eq_one_of_isUnit
∀ {n : ℕ} {a : ZMod n}, IsUnit a → ∀ (b : ZMod n), a⁻¹ * b = 1 ↔ a = b- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- IsUnitstatement and proof · cited by 1,602
- ZModstatement and proof · cited by 1,024
- ZMod.inv_mul_of_unitproof · cited by 4
- ZMod.mul_inv_of_unitproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.sum_char_inv_mul_char_eqproof · cited by 1