Theorems · Theorem · order theory
le_min
∀ {α : Type u_1} [inst : LinearOrder α] {a b c : α}, c ≤ a → c ≤ b → c ≤ min a b- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- LinearOrder
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.
- LinearOrderstatement and proof · cited by 8,572
- min_defproof · cited by 10
Cited by21
Results whose statement or proof uses this declaration.
- min_commproof · cited by 23
- min_assocproof · cited by 5
- Ideal.sup_eq_prod_inf_factorsproof · cited by 3
- eq_minproof · cited by 3
- PiCountable.dist_summableproof · cited by 1
- padicValRat.le_padicValRat_add_of_leproof · cited by 1
- PiCountable.min_dist_le_dist_piproof · cited by 1
- SimpleGraph.IsTuranMaximal.card_partsproof · cited by 1
- norm_add_sub_norm_sub_le_two_mul_minproof · cited by 1
- Set.IsWF.min_unionproof · cited by 1
- MeasureTheory.StronglyMeasurable.tendsto_approxBounded_of_norm_leproof · cited by 1
- Set.einfsep_insertproof · cited by 1