Theorems · Theorem · functional analysis
isOpen_setOfPred_affineIndependent
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {E : Type v} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [CompleteSpace 𝕜] {ι : Type u_1} [Finite ι], IsOpen {p | AffineIndependent 𝕜 p}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupproof · cited by 12,871
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Fintypeproof · cited by 7,736
- Set.ofPredstatement and proof · cited by 6,101
- Set.preimageproof · cited by 4,946
- Finitestatement and proof · cited by 3,029
- CompleteSpacestatement and proof · cited by 2,532
Cited by1
Results whose statement or proof uses this declaration.
- isOpen_setOf_affineIndependentproof · cited by 0