Theorems · Theorem · functional analysis
IsBoundedLinearMap.zero
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : Semiring 𝕜] [inst_1 : SeminormedAddCommGroup E]
[inst_2 : Module 𝕜 E] [inst_3 : SeminormedAddCommGroup F] [inst_4 : Module 𝕜 F], IsBoundedLinearMap 𝕜 fun x => 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- Norm.normproof · cited by 5,413
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- MulZeroClass.zero_mulproof · cited by 1,625
- norm_zeroproof · cited by 366
- IsBoundedLinearMapstatement · cited by 39
- LinearMap.isLinearproof · cited by 10
- IsLinearMap.with_boundproof · cited by 7
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