Theorems · Theorem · order theory
inf_le_right
∀ {α : Type u} [inst : SemilatticeInf α] {a b : α}, a ⊓ b ≤ b- Defined in
- Mathlib.Order.Lattice
- Cited by
- 238 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 12 definitions · uses no axioms
- Assumes
- SemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeInfstatement and proof · cited by 634
- SemilatticeInf.inf_le_rightproof · cited by 2
Cited by246
Results whose statement or proof uses this declaration.
- inf_commproof · cited by 139
- disjoint_iff_inf_leproof · cited by 64
- inf_eq_rightproof · cited by 64
- le_inf_iffproof · cited by 48
- IsCompact.image_of_continuousOnproof · cited by 24
- Monotone.map_inf_leproof · cited by 19
- Set.right_mem_uIccproof · cited by 13
- iInf_inf_eqproof · cited by 12
- inf_le_of_right_leproof · cited by 10
- exists_fun_of_mem_tangentConeAtproof · cited by 9
- lt_inf_iffproof · cited by 7
- Module.End.disjoint_genEigenspaceproof · cited by 7
Showing the 200 most cited of 246.