Commit 2024-10-29 14:36 33d49bb0

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chore: Rename Inducing to IsInducing (#18330) Function.Embedding is a type while Embedding is a proposition, and there are many other kinds of embeddings than topological embeddings. Hence this PR is a step towards

  1. renaming Embedding to IsEmbedding and similarly for neighboring declarations (which Inducing is)
  2. namespacing it inside Topology

Estimated changes

deleted theorem Inducing.codRestrict
deleted theorem Inducing.of_codRestrict
deleted theorem Inducing.prodMap
modified theorem IsEmbedding.prodMap
added theorem IsInducing.codRestrict
added theorem IsInducing.prodMap
added theorem IsInducing.subtypeVal
deleted theorem inducing_const_prod
deleted theorem inducing_prod_const
deleted theorem inducing_sigma_map
deleted theorem inducing_subtype_val
added theorem isInducing_const_prod
added theorem isInducing_prod_const
added theorem isInducing_sigmaMap
deleted structure Inducing
modified structure IsEmbedding
added structure IsInducing
deleted theorem Inducing.basis_nhds
deleted theorem Inducing.continuousAt_iff
deleted theorem Inducing.continuous_iff
deleted theorem Inducing.dense_iff
deleted theorem Inducing.isClosedMap
deleted theorem Inducing.isClosed_iff'
deleted theorem Inducing.isClosed_iff
deleted theorem Inducing.isOpen_iff
deleted theorem Inducing.mapClusterPt_iff
deleted theorem Inducing.map_nhds_eq
deleted theorem Inducing.map_nhds_of_mem
deleted theorem Inducing.nhdsSet_eq_comap
deleted theorem Inducing.nhds_eq_comap
deleted theorem Inducing.of_comp_iff
deleted theorem Inducing.of_subsingleton
deleted theorem Inducing.setOf_isOpen
deleted theorem Inducing.tendsto_nhds_iff
deleted theorem IsClosedEmbedding.comp
deleted theorem IsClosedMap.isQuotientMap
deleted theorem IsClosedMap.of_inverse
deleted theorem IsClosedMap.of_nonempty
deleted theorem IsEmbedding.continuous
deleted theorem IsEmbedding.map_nhds_eq
deleted theorem IsEmbedding.mk'
deleted theorem IsEmbedding.of_comp_iff
added theorem IsInducing.basis_nhds
added theorem IsInducing.dense_iff
added theorem IsInducing.isOpen_iff
added theorem IsInducing.map_nhds_eq
added theorem IsInducing.of_comp
added theorem IsInducing.of_comp_iff
deleted theorem IsOpenEmbedding.inducing
deleted theorem IsOpenEmbedding.isOpenMap
deleted theorem IsOpenEmbedding.of_comp
deleted theorem IsOpenMap.image_mem_nhds
deleted theorem IsOpenMap.isOpen_range
deleted theorem IsOpenMap.isQuotientMap
deleted theorem IsOpenMap.mapsTo_interior
deleted theorem IsOpenMap.nhds_le
deleted theorem IsOpenMap.of_inverse
deleted theorem IsOpenMap.of_isEmpty
deleted theorem IsOpenMap.of_nhds_le
deleted theorem IsOpenMap.of_sections
deleted theorem IsOpenMap.range_mem_nhds
deleted theorem IsQuotientMap.of_inverse
deleted theorem inducing_id
deleted theorem inducing_iff_nhds
deleted theorem inducing_induced
deleted theorem isClosedMap_iff_clusterPt
added theorem isInducing_iff_nhds
deleted theorem isOpenEmbedding_id
deleted theorem isOpenMap_iff_interior
deleted theorem isOpenMap_iff_nhds_le
deleted theorem isQuotientMap_iff
deleted theorem isQuotientMap_iff_closed