Theorems · Theorem · order theory
max_lt
∀ {α : Type u_1} [inst : LinearOrder α] {a b c : α}, b < a → c < a → max b c < a- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 42 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- le_totalproof · cited by 294
- max_eq_leftproof · cited by 96
- max_eq_rightproof · cited by 79
Cited by42
Results whose statement or proof uses this declaration.
- Cardinal.add_lt_of_ltproof · cited by 7
- PowerSeries.IsWeierstrassDivisorAt.eq_of_mul_add_eq_mul_addproof · cited by 7
- Cardinal.mul_lt_of_ltproof · cited by 5
- nhdsLE_basis_of_exists_ltproof · cited by 5
- PhragmenLindelof.isBigO_sub_exp_rpowproof · cited by 5
- Valuation.map_add_ltproof · cited by 4
- Ordinal.nfpFamily_lt_ord_liftproof · cited by 4
- comap_coe_nhdsLT_of_Ioo_subsetproof · cited by 3
- Valuation.map_add_of_distinct_valproof · cited by 3
- Polynomial.add_modByMonicproof · cited by 3
- Valuation.isOpen_ballproof · cited by 3
- PhragmenLindelof.horizontal_stripproof · cited by 3