Theorems · Theorem · order theory
Sublattice.map_iSup
∀ {ι : Sort u_1} {α : Type u_2} {β : Type u_3} [inst : Lattice α] [inst_1 : Lattice β] (f : LatticeHom α β)
(L : ι → Sublattice α), Sublattice.map f (⨆ i, L i) = ⨆ i, Sublattice.map f (L i)- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- iSupstatement · cited by 2,415
- Latticestatement and proof · cited by 916
- Sublatticestatement and proof · cited by 225
- LatticeHomstatement and proof · cited by 192
- GaloisConnection.l_iSupproof · cited by 78
- Sublattice.mapstatement · cited by 20
- Sublattice.gc_map_comapproof · cited by 6
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