Theorems · Theorem · order theory
sdiff_iSup_eq
Deprecated since 2026-07-30Use sdiff_iInf_eq instead.
∀ {α : Type u} {ι : Sort w} [inst : Order.Coframe α] {a : α} {f : ι → α}, a \ ⨅ x, f x = ⨆ x, a \ f xAlias of sdiff_iInf_eq.
- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Coframe
Around this declaration
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement · cited by 2,415
- iInfstatement · cited by 1,690
- Order.Coframestatement · cited by 38
- sdiff_iInf_eqproof · cited by 1
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