Documentation
Mathlib
.
RingTheory
.
RingHom
.
FiniteType
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Imports
Init
Mathlib.RingTheory.LocalProperties
Mathlib.RingTheory.Localization.InvSubmonoid
Imported by
RingHom
.
finiteType_stableUnderComposition
RingHom
.
finiteType_holdsForLocalizationAway
RingHom
.
finiteType_ofLocalizationSpanTarget
RingHom
.
finiteType_is_local
RingHom
.
finiteType_respectsIso
The meta properties of finite-type ring homomorphisms.
#
The main result is
RingHom.finiteType_is_local
.
source
theorem
RingHom
.
finiteType_stableUnderComposition
:
RingHom.StableUnderComposition
@
RingHom.FiniteType
source
theorem
RingHom
.
finiteType_holdsForLocalizationAway
:
RingHom.HoldsForLocalizationAway
@
RingHom.FiniteType
source
theorem
RingHom
.
finiteType_ofLocalizationSpanTarget
:
RingHom.OfLocalizationSpanTarget
@
RingHom.FiniteType
source
theorem
RingHom
.
finiteType_is_local
:
RingHom.PropertyIsLocal
@
RingHom.FiniteType
source
theorem
RingHom
.
finiteType_respectsIso
:
RingHom.RespectsIso
@
RingHom.FiniteType