Theorems · Theorem · order theory
Set.preimage_const_sub_uIcc
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [IsOrderedAddMonoid α] (a b c : α),
(fun x => a - x) ⁻¹' Set.uIcc b c = Set.uIcc (a - b) (a - c)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Set.preimagestatement · cited by 4,946
- Set.Iccproof · cited by 1,702
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- sub_eq_add_negproof · cited by 1,023
- Set.uIccstatement · cited by 393
- max_neg_negproof · cited by 5
- min_neg_negproof · cited by 4
- min_add_add_leftproof · cited by 2
- max_add_add_leftproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.