Mathlib Map

Theorems · Theorem · linear algebra

PiTensorProduct.map_one

∀ {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 => 1) = 1
Defined in
Mathlib.LinearAlgebra.PiTensorProduct.Basic
Cited by
0 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringAddCommMonoidModule
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PiTensorProduct.mapMonoidHom · cited by 2PiTensorProduct.mapMonoid…Module · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapPiTensorProduct · cited by 181PiTensorProductPiTensorProduct.map · cited by 24PiTensorProduct.mapPiTensorProduct.map_id · cited by 2PiTensorProduct.map_idPiTensorProduct.map_oneCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.