Theorems · Theorem · general topology
Filter.Realizer.mk.inj
∀ {α : Type u_1} {f : Filter α} {σ : Type u_5} {F : CFilter (Set α) σ} {eq : F.toFilter = f} {σ_1 : Type u_5}
{F_1 : CFilter (Set α) σ_1} {eq_1 : F_1.toFilter = f},
{ σ := σ, F := F, eq := eq } = { σ := σ_1, F := F_1, eq := eq_1 } → σ = σ_1 ∧ F ≍ F_1- Defined in
- Mathlib.Data.Analysis.Filter
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Filter.Realizerstatement · cited by 13
- CFilterstatement and proof · cited by 12
- CFilter.toFilterstatement and proof · cited by 6
- Filter.Realizer.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Filter.Realizer.mk.injEqproof · cited by 0