Theorems · Theorem · order theory
Set.image_div_const_Ioc
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (a b c : α),
(fun x => x / a) '' Set.Ioc b c = Set.Ioc (b / a) (c / a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- Set.imagestatement · cited by 5,609
- Set.preimageproof · cited by 4,946
- CommGroupstatement and proof · cited by 990
- Set.Iocstatement and proof · cited by 971
- div_eq_mul_invproof · cited by 715
- IsOrderedMonoidstatement and proof · cited by 577
- Set.image_congrproof · cited by 533
- inv_invproof · cited by 494
- Set.image_mul_rightproof · cited by 24
- Set.preimage_mul_const_Iocproof · cited by 3
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