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2023-04-27 02:37
48a2b71a
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feat: port Topology.Category.Top.Opens (
#3662
)
Estimated changes
Modified
Mathlib.lean
Created
Mathlib/Topology/Category/Top/Opens.lean
added
def
IsOpenMap.adjunction
added
def
IsOpenMap.functor
added
theorem
TopologicalSpace.Opens.adjunction_counit_app_self
added
theorem
TopologicalSpace.Opens.adjunction_counit_map_functor
added
theorem
TopologicalSpace.Opens.functor_map_eq_inf
added
theorem
TopologicalSpace.Opens.functor_obj_map_obj
added
def
TopologicalSpace.Opens.inclusion
added
def
TopologicalSpace.Opens.inclusionTopIso
added
theorem
TopologicalSpace.Opens.inclusion_map_eq_top
added
theorem
TopologicalSpace.Opens.inclusion_top_functor
added
theorem
TopologicalSpace.Opens.infLeLeft_apply
added
theorem
TopologicalSpace.Opens.infLeLeft_apply_mk
added
theorem
TopologicalSpace.Opens.leSupr_apply_mk
added
def
TopologicalSpace.Opens.map
added
def
TopologicalSpace.Opens.mapComp
added
def
TopologicalSpace.Opens.mapId
added
def
TopologicalSpace.Opens.mapIso
added
theorem
TopologicalSpace.Opens.mapIso_hom_app
added
theorem
TopologicalSpace.Opens.mapIso_inv_app
added
theorem
TopologicalSpace.Opens.mapIso_refl
added
def
TopologicalSpace.Opens.mapMapIso
added
theorem
TopologicalSpace.Opens.map_coe
added
theorem
TopologicalSpace.Opens.map_comp_eq
added
theorem
TopologicalSpace.Opens.map_comp_map
added
theorem
TopologicalSpace.Opens.map_comp_obj'
added
theorem
TopologicalSpace.Opens.map_comp_obj
added
theorem
TopologicalSpace.Opens.map_comp_obj_unop
added
theorem
TopologicalSpace.Opens.map_eq
added
theorem
TopologicalSpace.Opens.map_functor_eq'
added
theorem
TopologicalSpace.Opens.map_functor_eq
added
theorem
TopologicalSpace.Opens.map_id_eq
added
theorem
TopologicalSpace.Opens.map_id_obj'
added
theorem
TopologicalSpace.Opens.map_id_obj
added
theorem
TopologicalSpace.Opens.map_id_obj_unop
added
theorem
TopologicalSpace.Opens.map_obj
added
theorem
TopologicalSpace.Opens.map_supᵢ
added
theorem
TopologicalSpace.Opens.op_map_comp_obj
added
theorem
TopologicalSpace.Opens.op_map_id_obj
added
theorem
TopologicalSpace.Opens.openEmbedding
added
theorem
TopologicalSpace.Opens.openEmbedding_obj_top
added
theorem
TopologicalSpace.Opens.set_range_forget_map_inclusion
added
def
TopologicalSpace.Opens.toTopCat
added
theorem
TopologicalSpace.Opens.toTopCat_map