Theorems · Theorem · Lie groups
Specializes.vadd
∀ {M : Type u_1} {X : Type u_2} [inst : TopologicalSpace M] [inst_1 : TopologicalSpace X] [inst_2 : VAdd M X]
[ContinuousVAdd M X] {a b : M} {x y : X}, a ⤳ b → x ⤳ y → (a +ᵥ x) ⤳ (b +ᵥ y)- Defined in
- Mathlib.Topology.Algebra.MulAction
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement and proof · cited by 616
- Specializesstatement and proof · cited by 176
- ContinuousVAddstatement and proof · cited by 52
- Specializes.mapproof · cited by 19
- ContinuousVAdd.continuous_vaddproof · cited by 13
- Specializes.prodproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Specializes.addproof · cited by 1