Theorems · Theorem · ring theory
Module.End.coe_pow
∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(f : Module.End R M) (n : ℕ), ⇑(f ^ n) = (⇑f)^[n]- Defined in
- Mathlib.Algebra.Module.LinearMap.End
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Module.Endstatement and proof · cited by 774
- Nat.iteratestatement · cited by 740
- hom_coe_powproof · cited by 7
Cited by7
Results whose statement or proof uses this declaration.
- Module.End.pow_applyproof · cited by 12
- Module.End.pow_restrictproof · cited by 6
- Module.End.HasUnifEigenvalue.ltproof · cited by 4
- Submodule.inf_iSup_genEigenspaceproof · cited by 1
- Module.End.independent_iInf_maxGenEigenspace_of_forall_mapsToproof · cited by 1
- LieSubmodule.mapsTo_pow_toEnd_sub_algebraMapproof · cited by 0
- FiniteField.minpoly_frobeniusAlgHomproof · cited by 0