Theorems · Theorem · linear algebra
dualTensorHom_finsupp_bijective
∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : CommSemiring R] [inst_1 : AddCommMonoid M]
[inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N],
Finite ι ∨ Module.Finite R M →
Function.Bijective ⇑(dualTensorHom R M N) → Function.Bijective ⇑(dualTensorHom R M (ι →₀ N))- Defined in
- Mathlib.LinearAlgebra.Contraction
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
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 and proof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- Finitestatement and proof · cited by 3,029
- TensorProductstatement and proof · cited by 2,545
- LinearMap.compproof · cited by 1,642
- map_zeroproof · cited by 1,614
- LinearEquiv.toLinearMapproof · cited by 1,171
Cited by2
Results whose statement or proof uses this declaration.
- dualTensorHom_fun_bijectiveproof · cited by 1
- dualTensorHom_bijective_of_finite_left_projective_rightproof · cited by 0