Theorems · Theorem · category theory
TopModuleCat.free_map
∀ (R : Type u) [inst : Ring R] [inst_1 : TopologicalSpace R] {X Y : TopCat} (f : X ⟶ Y),
(TopModuleCat.free R).map f = TopModuleCat.freeMap R f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingTopologicalSpace
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- TopologicalSpacestatement and proof · cited by 24,529
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Ringstatement and proof · cited by 7,463
- TopCatstatement and proof · cited by 1,889
- TopModuleCatstatement · cited by 45
- TopModuleCat.freeObjstatement · cited by 4
- TopModuleCat.freestatement and proof · cited by 2
- TopModuleCat.freeMapstatement · cited by 2
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