Theorems · Theorem · functional analysis
balancedCore_subset
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : SeminormedRing 𝕜] [inst_1 : SMul 𝕜 E] (s : Set E), balancedCore 𝕜 s ⊆ s- Cited by
- 8 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedRingSMul
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.
- Setstatement and proof · cited by 53,352
- Set.ofPredproof · cited by 6,101
- SeminormedRingstatement and proof · cited by 446
- Balancedproof · cited by 77
- balancedCorestatement · cited by 18
- Set.sUnion_subsetproof · cited by 9
Cited by8
Results whose statement or proof uses this declaration.
- nhds_basis_balancedproof · cited by 10
- nhds_hasBasis_absConvexproof · cited by 2
- balancedCore_nonempty_iffproof · cited by 2
- balancedCore_subset_balancedCoreAuxproof · cited by 1
- unique_topology_of_t2proof · cited by 1
- Balanced.balancedCore_eqproof · cited by 1
- nhds_basis_closed_balancedproof · cited by 0
- balancedCore_emptyproof · cited by 0