Theorems · Theorem · order theory
inf_le_left
∀ {α : Type u} [inst : SemilatticeInf α] {a b : α}, a ⊓ b ≤ a- Defined in
- Mathlib.Order.Lattice
- Cited by
- 286 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_leftproof · cited by 2
Cited by292
Results whose statement or proof uses this declaration.
- inf_commproof · cited by 139
- disjoint_iff_inf_leproof · cited by 64
- le_inf_iffproof · cited by 48
- inf_eq_leftproof · cited by 41
- tendsto_nhdsWithin_of_tendsto_nhdsproof · cited by 20
- Monotone.map_inf_leproof · cited by 19
- tendsto_inv_atTop_zeroproof · cited by 19
- inf_le_of_left_leproof · cited by 17
- Set.left_mem_uIccproof · cited by 17
- inf_le_supproof · cited by 14
- HasFDerivWithinAt.continuousWithinAtproof · cited by 14
- Set.Icc_subset_uIccproof · cited by 12
Showing the 200 most cited of 292.