ContinuousAlgEquiv.lean`

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1 declarations, 0 contain sorry, 0 declared as axioms

Topological (sub)algebras

This file contains an API for ContinuousAlgEquiv.

Imports (2)

Imported by 2 files

def ContinuousAlgEquiv.changeScalars Produces an S'-linear continuous algebra isomorphism from a continuous algebra isomorphism f : A ≃A[S] B which also has scalars S' line 33 source
Source documentation
Produces an S'-linear continuous algebra isomorphism from a continuous algebra isomorphism f : A ≃A[S] B which also has scalars S'.

standard axioms: Quot.sound, propext what this means
Statement uses: CommSemiring, Algebra, TopologicalSpace, ContinuousAlgEquiv, IsBiscalar, AlgHom, ContinuousAlgEquiv.toAlgEquiv
Proof uses: AlgEquiv, AlgEquiv.changeScalars, ContinuousAlgEquiv.mk
14 instances, coercions and auxiliary constants left out.
```
def changeScalars {A B : Type*} (S' : Type*) {S : Type*}
    [CommSemiring A] [CommSemiring B] [CommSemiring S'] [CommSemiring S] [Algebra S A]
    [Algebra S B] [Algebra S' A] [Algebra S' B] [TopologicalSpace A] [TopologicalSpace B]
    (f : A ≃A[S] B) [IsBiscalar S S' f.toAlgHom] :
    A ≃A[S'] B where
…
```
Mentions: IsBiscalar