Theorems · Theorem · linear algebra
LinearMap.isIntegral
∀ {R : Type u} {M : Type v} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [Module.Free R M]
[Module.Finite R M] (f : M →ₗ[R] M), IsIntegral R f- Defined in
- Mathlib.LinearAlgebra.Charpoly.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- Module.Finitestatement and proof · cited by 1,032
- Module.Freestatement and proof · cited by 597
- IsIntegralstatement · cited by 427
- LinearMap.charpolyproof · cited by 67
- LinearMap.aeval_self_charpolyproof · cited by 6
- LinearMap.charpoly_monicproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.minpoly_coeff_zero_of_injectiveproof · cited by 0