Theorems · Theorem · order theory
Set.vadd_Icc
∀ {α : Type u_1} [inst : AddCommMonoid α] [inst_1 : LinearOrder α] [IsOrderedAddMonoid α] [AddLeftReflectLE α]
[ExistsAddOfLE α] (a b c : α), a +ᵥ Set.Icc b c = Set.Icc (a + b) (a + c)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddCommMonoidstatement and proof · cited by 12,281
- LinearOrderstatement and proof · cited by 8,572
- Set.extproof · cited by 2,266
- le_reflproof · cited by 2,061
- HVAdd.hVAddstatement and proof · cited by 1,820
- Set.Iccstatement and proof · cited by 1,702
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- add_assocproof · cited by 746
- add_le_addproof · cited by 666
- Set.vaddSetstatement · cited by 403
- ExistsAddOfLEstatement and proof · cited by 330
Cited by1
Results whose statement or proof uses this declaration.
- curveIntegralFun_symm_applyproof · cited by 2