Theorems · Theorem · global analysis
contMDiff_const
∀ {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] {E' : Type u_5} [inst_5 : NormedAddCommGroup E'] [inst_6 : NormedSpace 𝕜 E']
{H' : Type u_6} [inst_7 : TopologicalSpace H'] {I' : ModelWithCorners 𝕜 E' H'} {M' : Type u_7}
[inst_8 : TopologicalSpace M'] [inst_9 : ChartedSpace H M] [inst_10 : ChartedSpace H' M'] {n : WithTop ℕ∞} {c : M'},
ContMDiff I I' n fun x => c- Cited by
- 19 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- ContMDiffstatement · cited by 278
- continuousWithinAt_constproof · cited by 18
- contDiffWithinAt_constproof · cited by 9
Cited by20
Results whose statement or proof uses this declaration.
- contMDiffAt_constproof · cited by 11
- contMDiffOn_constproof · cited by 7
- contMDiff_mul_leftproof · cited by 4
- contMDiff_add_leftproof · cited by 4
- contMDiff_mulInvariantVectorFieldproof · cited by 2
- contMDiff_mul_rightproof · cited by 2
- UpperHalfPlane.contMDiff_denomproof · cited by 2
- UpperHalfPlane.contMDiff_numproof · cited by 2
- contMDiff_zeroproof · cited by 2
- contMDiff_addInvariantVectorFieldproof · cited by 2
- contMDiff_add_rightproof · cited by 2
- smoothSheaf.eval_surjectiveproof · cited by 1