Theorems · Theorem · general topology
Filter.inv_le_iff_le_inv
∀ {α : Type u_2} [inst : InvolutiveInv α] {f g : Filter α}, f⁻¹ ≤ g ↔ f ≤ g⁻¹- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- InvolutiveInv
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- inv_invproof · cited by 494
- InvolutiveInvstatement and proof · cited by 102
- Filter.inv_le_inv_iffproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- nhds_inv₀proof · cited by 1
- Filter.inv_le_selfproof · cited by 0