Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.RankFunction.filtration_monotone
∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} {ι : Type v} [inst : LinearOrder ι] (f : P.RankFunction ι),
Monotone f.filtration- Cited by
- 8 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- LinearOrderstatement and proof · cited by 8,572
- Oppositestatement · cited by 8,081
- iSupproof · cited by 2,415
- SimplexCategorystatement · cited by 2,204
- Monotonestatement · cited by 1,397
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- lt_of_lt_of_leproof · cited by 438
- SSet.N.toSproof · cited by 171
- SSet.Subcomplex.N.toNproof · cited by 126
- SSet.Subcomplex.Pairingstatement and proof · cited by 117
Cited by9
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.RankFunction.wstatement and proof · cited by 3
- SSet.Subcomplex.Pairing.RankFunction.relativeCellComplexproof · cited by 2
- SSet.Subcomplex.Pairing.RankFunction.range_homOfLE_app_union_range_b_appstatement and proof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.isPullbackstatement and proof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.w_assocstatement and proof · cited by 0
- SSet.Subcomplex.Pairing.RankFunction.filtration_of_isSuccLimitproof · cited by 0
- SSet.Subcomplex.Pairing.RankFunction.filtration_succproof · cited by 0
- SSet.Subcomplex.Pairing.RankFunction.iSup_filtration_iioproof · cited by 0
- SSet.Subcomplex.Pairing.RankFunction.isPushoutstatement and proof · cited by 0