Theorems · Theorem · general topology
Filter.zero_mem_zero
∀ {α : Type u_2} [inst : Zero α], 0 ∈ 0- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterstatement · cited by 8,121
- Set.zerostatement · cited by 87
- Filter.mem_pureproof · cited by 14
- Set.zero_mem_zeroproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Filter.add_eq_zero_iffproof · cited by 1
- Filter.zero_smul_filterproof · cited by 0