Theorems · Theorem · order theory
OrderHom.coe_iSup
∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] {ι : Sort u_3} [inst_1 : CompleteLattice β] (f : ι → α →o β),
⇑(⨆ i, f i) = ⨆ i, ⇑(f i)- Defined in
- Mathlib.Order.Hom.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- PreorderCompleteLattice
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- iSupstatement and proof · cited by 2,415
- CompleteLatticestatement and proof · cited by 1,048
- OrderHomstatement and proof · cited by 934
- iSup_applyproof · cited by 35
- OrderHom.iSup_applyproof · cited by 1
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