Theorems · Theorem · order theory
Set.uIcc_subset_Icc
∀ {α : Type u_1} [inst : Lattice α] {a₁ a₂ b₁ b₂ : α},
a₁ ∈ Set.Icc a₂ b₂ → b₁ ∈ Set.Icc a₂ b₂ → Set.uIcc a₁ b₁ ⊆ Set.Icc a₂ b₂- Cited by
- 5 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- Lattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by5
Results whose statement or proof uses this declaration.
- ODE.hasDerivWithinAt_picard_Iccproof · cited by 3
- ODE.FunSpace.intervalIntegrable_comp_compProjproof · cited by 1
- ODE.FunSpace.dist_iterate_next_apply_leproof · cited by 1
- intervalIntegral.continuous_parametric_primitive_of_continuousproof · cited by 1
- ODE.contDiffOn_enat_Icc_of_hasDerivWithinAtproof · cited by 0