Theorems · Theorem · linear algebra
PiTensorProduct.liftAux_tprod
∀ {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)] {E : Type u_9} [inst_3 : AddCommMonoid E] [inst_4 : Module R E]
(φ : MultilinearMap R s E) (f : (i : ι) → s i), (PiTensorProduct.liftAux φ) ((PiTensorProduct.tprod R) f) = φ f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 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.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- AddMonoidHomstatement · cited by 3,230
- one_smulproof · cited by 1,374
- MultilinearMapstatement and proof · cited by 370
- PiTensorProductstatement · cited by 181
- PiTensorProduct.tprodstatement · cited by 117
- FreeAddMonoid.ofproof · cited by 69
- AddCon.toQuotientproof · cited by 38
- addConGenproof · cited by 28
Cited by2
Results whose statement or proof uses this declaration.
- PiTensorProduct.lift.tprodproof · cited by 25
- PiTensorProduct.reindex_tprodproof · cited by 6