Theorems · Theorem · algebraic topology
FundamentalGroupoid.comp_eq
∀ {X : Type u_1} [inst : TopologicalSpace X] (x y z : FundamentalGroupoid X) (p : x ⟶ y) (q : y ⟶ z),
CategoryTheory.CategoryStruct.comp p q = Path.Homotopic.Quotient.trans p q- Cited by
- 0 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites6
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.CategoryStruct.compstatement · cited by 17,999
- FundamentalGroupoidstatement and proof · cited by 60
- FundamentalGroupoid.asstatement · cited by 40
- Path.Homotopic.Quotient.transstatement · cited by 12
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