Theorems · Theorem · category theory
TopModuleCat.coe_freeObj
∀ (R : Type u) [inst : Ring R] [inst_1 : TopologicalSpace R] (X : TopCat), ↑(TopModuleCat.freeObj R X).toModuleCat = (↑X →₀ R)
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- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingTopologicalSpace
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Cites8
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
- Ringstatement and proof · cited by 7,463
- Finsuppstatement · cited by 5,255
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- ModuleCat.carrierstatement · cited by 997
- TopModuleCat.toModuleCatstatement · cited by 29
- TopModuleCat.freeObjstatement · cited by 4
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