Theorems · Theorem · functional analysis
toLinearMap_algebraMapCLM
∀ (R : Type u_1) (A : Type u) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] [inst_3 : TopologicalSpace R] [inst_4 : TopologicalSpace A] [inst_5 : ContinuousSMul R A], ↑(algebraMapCLM R A) = Algebra.linearMap R A
- Defined in
- Mathlib.Topology.Algebra.Algebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 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.
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- ContinuousSMulstatement and proof · cited by 1,016
- ContinuousLinearMap.toLinearMapstatement · cited by 528
- Algebra.linearMapstatement · cited by 157
- algebraMapCLMstatement · cited by 8
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