Theorems · Theorem · functional analysis
finrank_euclideanSpace_fin
∀ {𝕜 : Type u_3} [inst : RCLike 𝕜] {n : ℕ}, Module.finrank 𝕜 (EuclideanSpace 𝕜 (Fin n)) = n- Defined in
- Mathlib.Analysis.InnerProductSpace.PiL2
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- RCLikestatement and proof · cited by 2,829
- Module.finrankstatement · cited by 1,770
- EuclideanSpacestatement · cited by 307
- Fintype.card_finproof · cited by 270
- finrank_euclideanSpaceproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- SmoothBumpCovering.exists_immersion_euclideanproof · cited by 1