Theorems · Theorem · order theory
Set.preimage_div_const_Iic
∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (a b : α),
(fun x => x / a) ⁻¹' Set.Iic b = Set.Iic (b * a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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Cites9
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.preimagestatement and proof · cited by 4,946
- Set.Iicstatement and proof · cited by 1,111
- CommGroupstatement and proof · cited by 990
- div_eq_mul_invproof · cited by 715
- IsOrderedMonoidstatement and proof · cited by 577
- inv_invproof · cited by 494
- Set.preimage_mul_const_Iicproof · cited by 7
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