Theorems · Theorem · number theory
AbstractMeasure.map_apply
∀ {X : Type u_1} {Y : Type u_2} {R : Type u_3} {E : Type u_4} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
[inst_2 : AddCommGroup E] [inst_3 : TopologicalSpace E] [inst_4 : IsTopologicalAddGroup E] [inst_5 : CommRing R]
[inst_6 : TopologicalSpace R] [inst_7 : IsTopologicalRing R] [inst_8 : Module R E] [inst_9 : ContinuousSMul R E]
(f : C(X, Y)) (μ : AbstractMeasure X R E) (g : C(Y, R)), ((AbstractMeasure.map f) μ) g = μ (g.comp f)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- ContinuousMapstatement and proof · cited by 2,491
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- ContinuousSMulstatement and proof · cited by 1,016
- IsTopologicalRingstatement and proof · cited by 402
- ContinuousMap.compstatement · cited by 181
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.