Theorems · Theorem · order theory
Nat.WithBot.add_one_le_of_lt
∀ {n m : WithBot ℕ}, n < m → n + 1 ≤ m- Defined in
- Mathlib.Data.Nat.WithBot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botproof · cited by 4,720
- WithBotstatement and proof · cited by 1,498
- WithBot.someproof · cited by 541
- WithBot.recBotCoeproof · cited by 101
- WithBot.coe_le_coeproof · cited by 76
- WithBot.coe_lt_coeproof · cited by 55
- not_lt_botproof · cited by 19
- WithBot.coe_addproof · cited by 10
- WithBot.coe_oneproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- minpoly.degree_eq_one_iffproof · cited by 1