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Theorems · Definition · functional analysis

balancedCoreAux

(𝕜 : Type u_1) → {E : Type u_2} → [SeminormedRing 𝕜] → [SMul 𝕜 E] → Set E → Set E

Helper definition to prove balanced_core_eq_iInter

Defined in
Mathlib.Analysis.LocallyConvex.BalancedCoreHull
Cited by
6 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedRingSMul
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

mem_balancedCoreAux_iff · cited by 3mem_balancedCoreAux_iffbalancedCoreAux_balanced · cited by 1balancedCoreAux_balancedbalancedCoreAux_maximal · cited by 1balancedCoreAux_maximalbalancedCoreAux_subset · cited by 1balancedCoreAux_subsetbalancedCore_subset_balancedCoreAux · cited by 1balancedCore_subset_balan…balancedCoreAux_empty · cited by 0balancedCoreAux_emptySet · cited by 53352SetNorm.norm · cited by 5413Norm.normSet.iInter · cited by 1084Set.iInterSeminormedRing · cited by 446SeminormedRingbalancedCoreAuxCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.