modelWithCornersSelf_prod — Mathlib

English

The tangent model with corners is the tangent bundle model: the tangent model is I.tangent, built from I.

Русский

Тangent-модель с углами является тангенциальным расщеплением, построенным на основе I.

LaTeX

$$ModelWithCorners.tangent {𝕜} {E} {H} (I : ModelWithCorners 𝕜 E H) : ModelWithCorners 𝕜 (E × E) (ModelProd H H')$$

Lean4

/-- 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. -/
theorem modelWithCornersSelf_prod : 𝓘(𝕜, E × F) = 𝓘(𝕜, E).prod 𝓘(𝕜, F) := by ext1 <;> simp

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