Theorems · Theorem · order theory
Sublocale.mem_carrier
∀ {X : Type u_1} [inst : Order.Frame X] {S : Sublocale X} {a : X}, a ∈ S.carrier ↔ a ∈ S- Defined in
- Mathlib.Order.Sublocale
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
- Assumes
- Order.Frame
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Order.Framestatement and proof · cited by 88
- Sublocalestatement and proof · cited by 30
- Sublocale.carrierstatement · cited by 3
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