Theorems · Theorem · functional analysis
balancedCoreAux_empty
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : NormedDivisionRing 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E],
balancedCoreAux 𝕜 ∅ = ∅- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Norm.normproof · cited by 5,413
- Eq.geproof · cited by 375
- NormedDivisionRingstatement and proof · cited by 360
- NormOneClass.norm_oneproof · cited by 148
- Set.notMem_emptyproof · cited by 35
- Set.smul_set_emptyproof · cited by 19
- balancedCoreAuxstatement · cited by 6
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