Theorems · Theorem · general topology
Filter.IsBasis.filter.congr_simp
∀ {α : Type u_1} {ι : Sort u_4} {p p_1 : ι → Prop} (e_p : p = p_1) {s s_1 : ι → Set α} (e_s : s = s_1)
(h : Filter.IsBasis p s), h.filter = ⋯.filter- Defined in
- Mathlib.Order.Filter.Bases.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Filterstatement · cited by 8,121
- Filter.IsBasisstatement and proof · cited by 14
- Filter.IsBasis.filterstatement and proof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.