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Theorems · Theorem · algebraic topology

SSet.degenerate_zero

∀ (X : SSet), X.degenerate 0 = ∅
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Degenerate
Cited by
2 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SSet.nondegenerate_zero · cited by 3SSet.nondegenerate_zeroSSet.ιNormalizedChainComplex_eq_zero · cited by 0SSet.ιNormalizedChainComp…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeSet.range · cited by 4705Set.rangeCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homSet.ext · cited by 2266Set.extSimplexCategory · cited by 2204SimplexCategoryQuiver.Hom.op · cited by 1948Hom.opSSet · cited by 1283SSetSSet.degenerate · cited by 29SSet.degenerateSSet.degenerate_zeroCITED BYCITES

Cites13

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.