Theorems · Theorem · algebraic topology

SSet.hasDimensionLE_prod

∀ (X₁ X₂ : SSet) (d₁ d₂ : ℕ) [X₁.HasDimensionLE d₁] [X₂.HasDimensionLE d₂] (n : ℕ),
  autoParam (d₁ + d₂ ≤ n) SSet.hasDimensionLE_prod._auto_1 →
    (CategoryTheory.MonoidalCategoryStruct.tensorObj X₁ X₂).HasDimensionLE n

Defined in: Mathlib.AlgebraicTopology.SimplicialSet.FiniteProd
Cited by: 0 results in Mathlib
Foundations: Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: SSet.HasDimensionLE SSet.HasDimensionLE

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Oppositestatement · cited by 8,081
CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
SimplexCategorystatement · cited by 2,204
SSetstatement and proof · cited by 1,283
SSet.HasDimensionLEstatement and proof · cited by 2
SSet.hasDimensionLT_prodproof · cited by 1

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