Theorems · Theorem · order theory
Order.le_of_lt_add_one
∀ {α : Type u_1} {x y : α} [inst : LinearOrder α] [inst_1 : Add α] [inst_2 : One α] [SuccAddOrder α], x < y + 1 → x ≤ y- Defined in
- Mathlib.Algebra.Order.SuccPred
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Order.succ_eq_add_oneproof · cited by 115
- SuccAddOrderstatement and proof · cited by 108
- Order.le_of_lt_succproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.emultiplicity_eq_count_normalizedFactorsproof · cited by 14
- SimpleGraph.two_le_chromaticNumber_of_adjproof · cited by 3
- SimpleGraph.Walk.three_le_chromaticNumber_of_odd_loopproof · cited by 2
- PowerSeries.order_eq_emultiplicity_Xproof · cited by 0