Theorems · Theorem · group theory
Nat.isUnit_iff
∀ {n : ℕ}, IsUnit n ↔ n = 1Alias of isUnit_iff_eq_one for discoverability.
- Defined in
- Mathlib.Algebra.Group.Nat.Units
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsUnitstatement · cited by 1,602
- isUnit_iff_eq_oneproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- Nat.prime_iff_prime_intproof · cited by 27
- Nat.Prime.eq_one_or_self_of_dvdproof · cited by 11
- Nat.sq_mul_squarefree_of_posproof · cited by 3
- Nat.prime_defproof · cited by 3
- Nat.squarefree_pow_iffproof · cited by 2
- CharP.of_ringHom_of_ne_zeroproof · cited by 2
- IsPrimitiveRoot.minpoly_eq_pow_coprimeproof · cited by 1