Theorems · Theorem · order theory
le_max_left
∀ {α : Type u_1} [inst : LinearOrder α] (a b : α), a ≤ max a b- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 215 results in Mathlib
- Foundations
- Depth 12 from the axioms, rests on 46 definitions · 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
- le_of_not_geproof · cited by 72
- max_def'proof · cited by 7
Cited by216
Results whose statement or proof uses this declaration.
- max_commproof · cited by 41
- ContinuousLinearMap.isBoundedBilinearMapproof · cited by 18
- Polynomial.derivative_mapproof · cited by 17
- lt_max_of_lt_leftproof · cited by 16
- Computation.mem_uniqueproof · cited by 15
- Set.projIciproof · cited by 13
- Cardinal.add_eq_maxproof · cited by 13
- continuous_edistproof · cited by 9
- CauSeq.le_of_existsproof · cited by 9
- Cardinal.mul_eq_maxproof · cited by 8
- Real.le_coe_toNNRealproof · cited by 8
- Cardinal.add_lt_of_ltproof · cited by 7
Showing the 200 most cited of 216.