Theorems · Definition · algebraic topology
Bundle.ContinuousRiemannianMetric.ctorIdx
{B : Type u_4} →
{inst : TopologicalSpace B} →
{F : Type u_5} →
{inst_1 : NormedAddCommGroup F} →
{inst_2 : NormedSpace ℝ F} →
{E : B → Type u_6} →
{inst_3 : TopologicalSpace (Bundle.TotalSpace F E)} →
{inst_4 : (b : B) → TopologicalSpace (E b)} →
{inst_5 : (b : B) → AddCommGroup (E b)} →
{inst_6 : (b : B) → Module ℝ (E b)} →
{inst_7 : FiberBundle F E} →
{inst_8 : VectorBundle ℝ F E} → Bundle.ContinuousRiemannianMetric F E → ℕ- Defined in
- Mathlib.Topology.VectorBundle.Riemannian
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupstatement and proof · cited by 12,871
- NormedSpacestatement and proof · cited by 12,499
- Bundle.TotalSpacestatement and proof · cited by 766
- FiberBundlestatement and proof · cited by 471
- VectorBundlestatement and proof · cited by 315
- Bundle.ContinuousRiemannianMetricstatement and proof · cited by 7
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