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2023-05-26 11:51
23c0f40d
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feat: port Topology.Sheaves.SheafCondition.PairwiseIntersections (
#4384
)
Estimated changes
Modified
Mathlib.lean
Created
Mathlib/Topology/Sheaves/SheafCondition/PairwiseIntersections.lean
added
def
TopCat.Presheaf.IsSheafPairwiseIntersections
added
def
TopCat.Presheaf.IsSheafPreservesLimitPairwiseIntersections
added
def
TopCat.Presheaf.SheafCondition.pairwiseCoconeIso
added
def
TopCat.Presheaf.SheafCondition.pairwiseDiagramIso
added
def
TopCat.Presheaf.SheafCondition.pairwiseToOpensLeCover
added
def
TopCat.Presheaf.SheafCondition.pairwiseToOpensLeCoverMap
added
def
TopCat.Presheaf.SheafCondition.pairwiseToOpensLeCoverObj
added
theorem
TopCat.Presheaf.isSheafOpensLeCover_iff_isSheafPairwiseIntersections
added
theorem
TopCat.Presheaf.isSheaf_iff_isSheafPairwiseIntersections
added
theorem
TopCat.Presheaf.isSheaf_iff_isSheafPreservesLimitPairwiseIntersections
added
def
TopCat.Sheaf.interUnionPullbackCone
added
def
TopCat.Sheaf.interUnionPullbackConeLift
added
theorem
TopCat.Sheaf.interUnionPullbackConeLift_left
added
theorem
TopCat.Sheaf.interUnionPullbackConeLift_right
added
theorem
TopCat.Sheaf.interUnionPullbackCone_fst
added
theorem
TopCat.Sheaf.interUnionPullbackCone_pt
added
theorem
TopCat.Sheaf.interUnionPullbackCone_snd
added
def
TopCat.Sheaf.isLimitPullbackCone
added
def
TopCat.Sheaf.isProductOfDisjoint
added
def
TopCat.Sheaf.objSupIsoProdEqLocus
added
theorem
TopCat.Sheaf.objSupIsoProdEqLocus_hom_fst
added
theorem
TopCat.Sheaf.objSupIsoProdEqLocus_hom_snd
added
theorem
TopCat.Sheaf.objSupIsoProdEqLocus_inv_fst
added
theorem
TopCat.Sheaf.objSupIsoProdEqLocus_inv_snd