Theorems · Theorem · functional analysis
ContinuousLinearMapWOT.id_comp
∀ {𝕜₂ : Type u_6} {𝕜₃ : Type u_7} {F : Type u_10} {G : Type u_11} [inst : NormedField 𝕜₂] [inst_1 : NormedField 𝕜₃]
{σ₂₃ : 𝕜₂ →+* 𝕜₃} [inst_2 : AddCommGroup F] [inst_3 : TopologicalSpace F] [inst_4 : Module 𝕜₂ F]
[inst_5 : AddCommGroup G] [inst_6 : TopologicalSpace G] [inst_7 : Module 𝕜₃ G] (g : F →SWOT[σ₂₃] G),
g.comp (ContinuousLinearMapWOT.id 𝕜₂ F) = g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- RingHomstatement and proof · cited by 10,189
- NormedFieldstatement and proof · cited by 1,084
- ContinuousLinearMapWOTstatement and proof · cited by 101
- ContinuousLinearMapWOT.toCLMproof · cited by 36
- ContinuousLinearMap.comp_idproof · cited by 21
- ContinuousLinearMapWOT.compstatement · cited by 11
- ContinuousLinearMapWOT.idstatement · cited by 3
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