Theorems · Definition · category theory
SSet.innerFibrations
CategoryTheory.MorphismProperty SSet
The inner fibrations are the morphisms which have the right lifting property with respect to inner horn inclusions.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- SSetstatement · cited by 1,283
- CategoryTheory.MorphismProperty.rlpproof · cited by 53
- SSet.innerHornInclusionsproof · cited by 12
Cited by13
Results whose statement or proof uses this declaration.
- SSet.innerAnodyneExtensionsproof · cited by 16
- SSet.innerFibration_iffstatement and proof · cited by 4
- SSet.innerAnodyneExtensions_pushoutObjObjιproof · cited by 3
- SSet.InnerFibration.memstatement · cited by 2
- SSet.quasicategory_iff_innerFibrationproof · cited by 2
- SSet.innerFibration_pullbackObjObjπproof · cited by 1
- SSet.quasicategory_of_innerFibrationproof · cited by 1
- SSet.InnerFibration.casesOnstatement and proof · cited by 1
- SSet.InnerFibration.recOnstatement and proof · cited by 0
- SSet.quasicategory_iff_of_isTerminalproof · cited by 0
- SSet.Quasicategory.from_innerFibrationsstatement · cited by 0
- SSet.mem_innerFibrationsstatement · cited by 0