Theorems · Theorem · ring theory
Module.End.one_eq_id
∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M], 1 = LinearMap.id- Defined in
- Mathlib.Algebra.Module.LinearMap.End
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Module.Endstatement · cited by 774
- LinearMap.idstatement · cited by 625
Cited by2
Results whose statement or proof uses this declaration.
- LinearMap.trace_idproof · cited by 4
- Representation.linHom.mem_invariants_iff_commproof · cited by 0