Theorems · Theorem · order theory
Sublattice.mem_map_of_mem
∀ {α : Type u_2} {β : Type u_3} [inst : Lattice α] [inst_1 : Lattice β] {L : Sublattice α} (f : LatticeHom α β) {a : α},
a ∈ L → f a ∈ Sublattice.map f L- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Latticestatement and proof · cited by 916
- Set.mem_image_of_memproof · cited by 371
- Sublatticestatement and proof · cited by 225
- LatticeHomstatement and proof · cited by 192
- Sublattice.mapstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Sublattice.apply_coe_mem_mapproof · cited by 0