Mathlib Map

Theorems · Theorem · general topology

Filter.mem_zero

∀ {α : Type u_2} [inst : Zero α] {s : Set α}, s ∈ 0 ↔ 0 ∈ s
Defined in
Mathlib.Order.Filter.Pointwise
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
Zero
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.add_top_of_nonneg · cited by 1Filter.add_top_of_nonnegFilter.top_add_of_nonneg · cited by 0Filter.top_add_of_nonnegSet · cited by 53352SetFilter · cited by 8121FilterFilter.mem_pure · cited by 14Filter.mem_pureFilter.mem_zeroCITED BYCITES

Cites3

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Cited by2

Results whose statement or proof uses this declaration.