Theorems · Theorem · order theory
inf_le_of_right_le
∀ {α : Type u} [inst : SemilatticeInf α] {a b c : α}, b ≤ c → a ⊓ b ≤ c- Defined in
- Mathlib.Order.Lattice
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- SemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeInfstatement and proof · cited by 634
- inf_le_rightproof · cited by 238
- ge_transproof · cited by 34
Cited by10
Results whose statement or proof uses this declaration.
- inf_le_infproof · cited by 54
- iInf_orproof · cited by 5
- min_le_of_right_leproof · cited by 5
- IsGLB.unionproof · cited by 4
- Coheyting.boundary_le_boundary_sup_sup_boundary_inf_leftproof · cited by 2
- bihimp_inf_supproof · cited by 2
- Finsupp.disjoint_lsingle_lsingleproof · cited by 0
- Filter.EventuallyLE.inf_le_of_right_leproof · cited by 0
- Disjoint.of_disjoint_inf_of_le'proof · cited by 0
- InfPrime.inf_leproof · cited by 0