Theorems · Theorem · number theory
ZMod.pow_totient
∀ {n : ℕ} (x : (ZMod n)ˣ), x ^ n.totient = 1The Fermat-Euler totient theorem. Nat.ModEq.pow_totient is an alternative statement
of the same theorem.
- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 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.
- Unitsstatement and proof · cited by 2,804
- pow_zeroproof · cited by 1,094
- ZModstatement and proof · cited by 1,024
- Nat.totientstatement · cited by 111
- ZMod.card_units_eq_totientproof · cited by 15
- pow_card_eq_oneproof · cited by 9
- Nat.totient_zeroproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Nat.ModEq.pow_totientproof · cited by 1