Theorems · Theorem · order theory
UpperSet.sdiff_idem
∀ {α : Type u_1} [inst : Preorder α] (s : UpperSet α) (t : Set α), (s.sdiff t).sdiff t = s.sdiff t- Defined in
- Mathlib.Order.UpperLower.Closure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- SetLike.coe_injectiveproof · cited by 374
- UpperSetstatement and proof · cited by 245
- sdiff_idemproof · cited by 12
- UpperSet.sdiffstatement and proof · cited by 8
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