Theorems · Theorem · linear algebra
PiTensorProduct.map_id
∀ {ι : Type u_1} {R : Type u_4} [inst : CommSemiring R] {s : ι → Type u_7} [inst_1 : (i : ι) → AddCommMonoid (s i)]
[inst_2 : (i : ι) → Module R (s i)], (PiTensorProduct.map fun i => LinearMap.id) = LinearMap.id- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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 · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- LinearMap.idstatement and proof · cited by 625
- PiTensorProductstatement · cited by 181
- PiTensorProduct.tprodproof · cited by 117
- MultilinearMap.extproof · cited by 60
- PiTensorProduct.extproof · cited by 26
- PiTensorProduct.mapstatement · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- PiTensorProduct.mapL_idproof · cited by 1
- PiTensorProduct.map_oneproof · cited by 0