Theorems · Theorem · number theory
ZMod.inv_eq_of_mul_eq_one
∀ (n : ℕ) (a b : ZMod n), a * b = 1 → a⁻¹ = 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.
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
- ZModstatement and proof · cited by 1,024
- left_inv_eq_right_invproof · cited by 19
- ZMod.inv_mul_of_unitproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.inv_neg_oneproof · cited by 1