Theorems · Definition · order theory
WithBot.some
{α : Type u_1} → α → WithBot αThe canonical map from α into WithBot α
- Defined in
- Mathlib.Order.TypeTags
- Cited by
- 541 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithBotstatement · cited by 1,498
Cited by562
Results whose statement or proof uses this declaration.
- Real.toERealproof · cited by 303
- Finset.sup'proof · cited by 174
- WithBot.recBotCoestatement and proof · cited by 101
- WithBot.coe_le_coestatement · cited by 76
- WithBot.coe_lt_coestatement · cited by 55
- Finset.maxproof · cited by 50
- WithBotTop.coeproof · cited by 43
- WithBot.bot_lt_coestatement · cited by 37
- Finset.max'_memproof · cited by 30
- WithBot.coe_ne_botstatement and proof · cited by 29
- Interval.coeproof · cited by 28
- WithBot.unbotproof · cited by 23
Showing the 200 most cited of 562.