Theorems · Theorem · linear algebra
LinearEquiv.baseChange_symm
∀ (R : Type u_1) (A : Type u_2) (M : Type u_4) (N : Type u_5) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] [inst_3 : AddCommMonoid M] [inst_4 : AddCommMonoid N] [inst_5 : Module R M] [inst_6 : Module R N] (e : M ≃ₗ[R] N), LinearEquiv.baseChange R A N M e.symm = (LinearEquiv.baseChange R A M N e).symm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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 and proof · cited by 2,545
- LinearEquiv.symmstatement and proof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- LinearMap.lTensorproof · cited by 203
Cited by1
Results whose statement or proof uses this declaration.
- LinearEquiv.baseChange_invproof · cited by 1