Mathlib Map

Theorems · Theorem · order theory

Sublattice.prod_mono

∀ {α : Type u_2} {β : Type u_3} [inst : Lattice α] [inst_1 : Lattice β] {L₁ L₂ : Sublattice α} {M₁ M₂ : Sublattice β},
  L₁ ≤ L₂ → M₁ ≤ M₂ → L₁.prod M₁ ≤ L₂.prod M₂
Defined in
Mathlib.Order.Sublattice
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
LatticeLattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Sublattice.prod_mono_right · cited by 1Sublattice.prod_mono_rightSublattice.prod_mono_left · cited by 1Sublattice.prod_mono_leftLattice · cited by 916LatticeSublattice · cited by 225SublatticeSet.prod_mono · cited by 52Set.prod_monoSublattice.prod · cited by 18Sublattice.prodSublattice.prod_monoCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.