Theorems · Theorem · order theory
lt_max_of_lt_right
∀ {α : Type u} [inst : LinearOrder α] {a b c : α}, a < c → a < max b c- Defined in
- Mathlib.Order.MinMax
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- LinearOrder
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.
- LinearOrderstatement and proof · cited by 8,572
- LT.lt.trans_leproof · cited by 678
- le_max_rightproof · cited by 205
Cited by29
Results whose statement or proof uses this declaration.
- AkraBazziRecurrence.GrowsPolynomially.eventually_atTop_nonneg_or_nonposproof · cited by 4
- Bornology.IsBounded.exists_pos_norm_leproof · cited by 4
- SchwartzMap.decayproof · cited by 3
- IsBoundedBilinearMap.isBoundedLinearMap_rightproof · cited by 3
- Height.mulHeight_eval_leproof · cited by 3
- IsOpen.exists_contDiff_support_eqproof · cited by 2
- Height.mulHeight₁_sum_leproof · cited by 2
- Complex.hasSum_taylorSeries_logproof · cited by 2
- Ordinal.IsPrincipal.sSupproof · cited by 2
- Height.mulHeight_eval_geproof · cited by 2
- Filter.tendsto_nhds_max_rightproof · cited by 2
- dist_integral_mulExpNegMulSq_comp_leproof · cited by 1