Theorems · Theorem · general topology
Filter.CountableFilterBasis.mk.inj
∀ {α : Type u_6} {toFilterBasis : FilterBasis α} {countable : toFilterBasis.sets.Countable}
{toFilterBasis_1 : FilterBasis α} {countable_1 : toFilterBasis_1.sets.Countable},
{ toFilterBasis := toFilterBasis, countable := countable } =
{ toFilterBasis := toFilterBasis_1, countable := countable_1 } →
toFilterBasis = toFilterBasis_1- Defined in
- Mathlib.Order.Filter.CountablyGenerated
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
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 · cited by 53,352
- Set.Countablestatement and proof · cited by 545
- FilterBasis.setsstatement and proof · cited by 42
- FilterBasisstatement and proof · cited by 23
- Filter.CountableFilterBasisstatement · cited by 4
- Filter.CountableFilterBasis.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Filter.CountableFilterBasis.mk.injEqproof · cited by 0