Theorems · Theorem · functional analysis
ContinuousLinearEquiv.coe_prodUnique
∀ (R : Type u_8) (M : Type u_9) (N : Type u_10) [inst : Semiring R] [inst_1 : TopologicalSpace M] [inst_2 : AddCommMonoid M] [inst_3 : TopologicalSpace N] [inst_4 : AddCommMonoid N] [inst_5 : Unique N] [inst_6 : Module R M] [inst_7 : Module R N], (↑(ContinuousLinearEquiv.prodUnique R M N)).toEquiv = Equiv.prodUnique M N
- Defined in
- Mathlib.Topology.Algebra.Module.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement · cited by 8,337
- Uniquestatement and proof · cited by 400
- ContinuousLinearEquiv.toLinearEquivstatement · cited by 118
- LinearEquiv.toEquivstatement · cited by 105
- ContinuousLinearEquiv.prodUniquestatement · cited by 10
- Equiv.prodUniquestatement · cited by 6
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