Theorems · Theorem · number theory
ZMod.mul_inv_eq_gcd
∀ {n : ℕ} (a : ZMod n), a * a⁻¹ = ↑(a.val.gcd n)- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- MulZeroClass.zero_mulproof · cited by 1,625
- ZModstatement and proof · cited by 1,024
- Int.cast_natCastproof · cited by 393
- Int.cast_oneproof · cited by 371
- ZMod.valstatement and proof · cited by 159
- Int.cast_addproof · cited by 124
- Int.cast_mulproof · cited by 113
- Nat.cast_succproof · cited by 99
- ZMod.natCast_zmod_valproof · cited by 29
- Nat.gcdAproof · cited by 23
- Nat.gcdBproof · cited by 21
Cited by3
Results whose statement or proof uses this declaration.
- ZMod.coe_mul_inv_eq_oneproof · cited by 2
- ZMod.inv_oneproof · cited by 2
- ZMod.inv_coe_unitproof · cited by 1