Theorems · Theorem · group theory
IsIdempotentElem.zero
∀ {M₀ : Type u_1} [inst : MulZeroClass M₀], IsIdempotentElem 0- Defined in
- Mathlib.Algebra.GroupWithZero.Idempotent
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- MulZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClassstatement and proof · cited by 232
- IsIdempotentElemstatement · cited by 217
Cited by5
Results whose statement or proof uses this declaration.
- Submodule.isTopCompl_bot_topproof · cited by 1
- IsIdempotentElem.iff_eq_zero_or_oneproof · cited by 1
- exists_isIdempotentElem_eq_of_ker_isNilpotentproof · cited by 1
- PrimeSpectrum.isIdempotentElemEquivClopens_symm_botstatement · cited by 0
- IsStarProjection.zeroproof · cited by 0