Theorems · Theorem · ring theory
LinearMap.coe_coe
∀ {R : Type u_1} {S : Type u_5} {M : Type u_8} {M₃ : Type u_11} [inst : Semiring R] [inst_1 : Semiring S]
[inst_2 : AddCommMonoid M] [inst_3 : AddCommMonoid M₃] [inst_4 : Module R M] [inst_5 : Module S M₃] {σ : R →+* S}
{F : Type u_14} [inst_6 : FunLike F M M₃] [inst_7 : SemilinearMapClass F σ M M₃] {f : F}, ⇑↑f = ⇑f- Defined in
- Mathlib.Algebra.Module.LinearMap.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- RingHomstatement and proof · cited by 10,189
- FunLikestatement and proof · cited by 2,560
- SemilinearMapClass.semilinearMapstatement · cited by 80
- SemilinearMapClassstatement and proof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- IsLocalRing.quotient_span_eq_top_iff_span_eq_topproof · cited by 1
- ball_subset_range_iff_surjectiveproof · cited by 1
- LinearMap.eqOn_supproof · cited by 1