Theorems · Theorem · global analysis

modelWithCornersSelf_prod

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {F : Type u_4} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F],
  modelWithCornersSelf 𝕜 (E × F) = (modelWithCornersSelf 𝕜 E).prod (modelWithCornersSelf 𝕜 F)

This lemma should be erased, or at least burn in hell, as it uses bad defeq: the left model with corners is for E times F, the right one for ModelProd E F, and there's a good reason we are distinguishing them.

Defined in

Mathlib.Geometry.Manifold.IsManifold.Basic

Cited by

10 results in Mathlib

Foundations

Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace