Theorems · Theorem · general topology
CompactlyGenerated.mk.inj
∀ {toTop : TopCat} {is_compactly_generated : UCompactlyGeneratedSpace ↑toTop} {toTop_1 : TopCat}
{is_compactly_generated_1 : UCompactlyGeneratedSpace ↑toTop_1},
{ toTop := toTop, is_compactly_generated := is_compactly_generated } =
{ toTop := toTop_1, is_compactly_generated := is_compactly_generated_1 } →
toTop = toTop_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- UCompactlyGeneratedSpacestatement and proof · cited by 12
- CompactlyGeneratedstatement · cited by 11
- CompactlyGenerated.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CompactlyGenerated.mk.injEqproof · cited by 0