Theorems · Theorem · global analysis
contMDiffWithinAt_id
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {H : Type u_3} [inst_3 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {M : Type u_4}
[inst_4 : TopologicalSpace M] [inst_5 : ChartedSpace H M] {s : Set M} {x : M} {n : WithTop ℕ∞},
ContMDiffWithinAt I I n id s x- Cited by
- 10 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ModelWithCornersstatement and proof · cited by 2,462
- ChartedSpacestatement and proof · cited by 2,397
- ContMDiffWithinAtstatement · cited by 189
- ContMDiffAt.contMDiffWithinAtproof · cited by 23
- contMDiffAt_idproof · cited by 8
Cited by10
Results whose statement or proof uses this declaration.
- Bundle.contMDiffWithinAt_sectionproof · cited by 5
- ContMDiffWithinAt.mpullbackWithin_vectorField_interproof · cited by 4
- ContMDiffWithinAt.mfderivWithinproof · cited by 3
- contMDiffAt_extChartAtproof · cited by 3
- ContMDiffWithinAt.mfderivWithin_constproof · cited by 3
- ContMDiffOn.contMDiffOn_tangentMapWithinproof · cited by 2
- contMDiffWithinAt_vectorSpace_iff_contDiffWithinAtproof · cited by 2
- contMDiffWithinAt_extChartAt_symm_target_selfproof · cited by 1
- ContMDiffWithinAt.curry_leftproof · cited by 1
- ContMDiffWithinAt.curry_rightproof · cited by 1