Theorems · Theorem · functional analysis
ContinuousLinearMapWOT.addEquiv_apply
∀ {𝕜₁ : Type u_1} {𝕜₂ : Type u_2} [inst : NormedField 𝕜₁] [inst_1 : NormedField 𝕜₂] {σ : 𝕜₁ →+* 𝕜₂} {E : Type u_3}
{F : Type u_4} [inst_2 : AddCommGroup E] [inst_3 : TopologicalSpace E] [inst_4 : Module 𝕜₁ E]
[inst_5 : AddCommGroup F] [inst_6 : TopologicalSpace F] [inst_7 : Module 𝕜₂ F] [inst_8 : IsTopologicalAddGroup F]
(self : E →SWOT[σ] F), ContinuousLinearMapWOT.addEquiv self = self.toCLM- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- RingHomstatement and proof · cited by 10,189
- ContinuousLinearMapstatement · cited by 5,352
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- AddEquivstatement · cited by 1,087
- NormedFieldstatement and proof · cited by 1,084
- ContinuousLinearMapWOTstatement and proof · cited by 101
- ContinuousLinearMapWOT.toCLMstatement · cited by 36
- ContinuousLinearMapWOT.addEquivstatement and proof · cited by 2
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