Theorems · Theorem · order theory
lt_max_iff
∀ {α : Type u} [inst : LinearOrder α] {a b c : α}, a < max b c ↔ a < b ∨ a < c- Defined in
- Mathlib.Order.MinMax
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- 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
- lt_sup_iffproof · cited by 7
Cited by13
Results whose statement or proof uses this declaration.
- exists_pos_mul_ltproof · cited by 13
- min_lt_max_of_add_lt_addproof · cited by 2
- Asymptotics.bound_of_isBigO_cofiniteproof · cited by 2
- Collinear.wbtw_of_dist_eq_of_dist_leproof · cited by 2
- isLittleO_log_rpow_rpow_atTopproof · cited by 1
- Complex.liouville_theorem_auxproof · cited by 1
- Complex.IsExpCmpFilter.isLittleO_log_norm_reproof · cited by 1
- exists_pow_btwnproof · cited by 1
- Liouville.exists_one_le_pow_mul_distproof · cited by 1
- lt_absproof · cited by 1
- PadicSeq.stationaryproof · cited by 1
- lt_mabsproof · cited by 0