Theorems · Theorem · linear algebra
LinearEquiv.baseChange_mul
∀ (R : Type u_1) (A : Type u_2) (M : Type u_4) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] [inst_3 : AddCommMonoid M] [inst_4 : Module R M] (e f : M ≃ₗ[R] M), LinearEquiv.baseChange R A M M (e * f) = LinearEquiv.baseChange R A M M e * LinearEquiv.baseChange R A M M f
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, 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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearEquivstatement and proof · cited by 3,317
- TensorProductstatement · cited by 2,545
- LinearEquiv.transproof · cited by 298
- LinearEquiv.baseChangestatement and proof · cited by 25
- LinearEquiv.baseChange_transproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- LinearEquiv.baseChange_powproof · cited by 0
- LinearEquiv.baseChange_zpowproof · cited by 0