Theorems · Theorem · general topology
Filter.inv_mem_inv
∀ {α : Type u_2} [inst : InvolutiveInv α] {f : Filter α} {s : Set α}, s ∈ f → s⁻¹ ∈ f⁻¹- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- InvolutiveInv
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- inv_invproof · cited by 494
- Set.invstatement · cited by 132
- InvolutiveInvstatement and proof · cited by 102
- Set.inv_preimageproof · cited by 4
- Filter.mem_invproof · cited by 1
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