Theorems · Theorem · order theory
Sublattice.map_map
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Lattice α] [inst_1 : Lattice β] [inst_2 : Lattice γ]
{L : Sublattice α} (g : LatticeHom β γ) (f : LatticeHom α β),
Sublattice.map g (Sublattice.map f L) = Sublattice.map (g.comp f) L- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- SetLike.coeproof · cited by 8,199
- Latticestatement and proof · cited by 916
- SetLike.coe_injectiveproof · cited by 374
- Sublatticestatement and proof · cited by 225
- LatticeHomstatement and proof · cited by 192
- Set.image_imageproof · cited by 140
- LatticeHom.compstatement and proof · cited by 27
- Sublattice.mapstatement and proof · cited by 20
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