[Merged by Bors] - feat(topology/separation): add API for interaction between discrete topology and subsets #6570
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…opology and subsets The final result: Let `s, t ⊆ X` be two subsets of a topological space `X`. If `t ⊆ s` and the topology induced by `X`on `s` is discrete, then also the topology induces on `t` is discrete. Zulip discussion: https://leanprover.zulipchat.com/#all_messages
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…opology and subsets (#6570) The final result: Let `s, t ⊆ X` be two subsets of a topological space `X`. If `t ⊆ s` and the topology induced by `X`on `s` is discrete, then also the topology induces on `t` is discrete. The proofs are by Patrick Massot.
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…opology and subsets (#6570) The final result: Let `s, t ⊆ X` be two subsets of a topological space `X`. If `t ⊆ s` and the topology induced by `X`on `s` is discrete, then also the topology induces on `t` is discrete. The proofs are by Patrick Massot.
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…opology and subsets (#6570) The final result: Let `s, t ⊆ X` be two subsets of a topological space `X`. If `t ⊆ s` and the topology induced by `X`on `s` is discrete, then also the topology induces on `t` is discrete. The proofs are by Patrick Massot.
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…opology and subsets (#6570) The final result: Let `s, t ⊆ X` be two subsets of a topological space `X`. If `t ⊆ s` and the topology induced by `X`on `s` is discrete, then also the topology induces on `t` is discrete. The proofs are by Patrick Massot.
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The final result:
Let
s, t ⊆ Xbe two subsets of a topological spaceX. Ift ⊆ sand the topology inducedby
Xonsis discrete, then also the topology induces ontis discrete.The proofs are by Patrick Massot.