Theorems · Theorem · commutative algebra
one_notMem_nonunits
∀ {α : Type u_2} [inst : Monoid α], 1 ∉ nonunits α- Defined in
- Mathlib.RingTheory.Ideal.Nonunits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Monoid
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.
- Setstatement · cited by 53,352
- Monoidstatement and proof · cited by 3,887
- isUnit_oneproof · cited by 48
- nonunitsstatement · cited by 35
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.closure_ne_topproof · cited by 1