Theorems · Theorem · category theory
ModuleCat.preservesFiniteLimits_extendScalars_of_flat
∀ {A B : Type u} [inst : CommRing A] [inst_1 : CommRing B] {f : A →+* B},
f.Flat → CategoryTheory.Limits.PreservesFiniteLimits (ModuleCat.extendScalars f)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- CategoryTheory.Functor.compproof · cited by 6,529
- ModuleCatstatement · cited by 1,429
- ModuleCat.restrictScalarsproof · cited by 148
- CategoryTheory.Limits.PreservesFiniteLimitsstatement and proof · cited by 121
- RingHom.Flatstatement and proof · cited by 60
- ModuleCat.extendScalarsstatement and proof · cited by 39
- ModuleCat.preservesFiniteLimits_tensorLeft_of_ringHomFlatproof · cited by 1
- CategoryTheory.Limits.preservesFiniteLimits_of_reflects_of_preservesproof · cited by 1
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