Theorems · Theorem · order theory
WithBot.coe_ne_bot
∀ {α : Type u_1} {a : α}, ↑a ≠ ⊥- Defined in
- Mathlib.Order.WithBot
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
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.
- Bot.botstatement and proof · cited by 4,720
- WithBotstatement · cited by 1,498
- WithBot.somestatement and proof · cited by 541
Cited by30
Results whose statement or proof uses this declaration.
- WithBot.natCast_ne_botproof · cited by 3
- WithBot.isPredPrelimit_iffproof · cited by 2
- Equiv.withBotSubtypeNeproof · cited by 2
- Interval.pure_ne_botproof · cited by 2
- Polynomial.X_pow_add_C_ne_zeroproof · cited by 2
- BoxIntegral.Prepartition.ofWithBot_monoproof · cited by 2
- WithBot.one_ne_botproof · cited by 1
- BoxIntegral.Prepartition.le_ofWithBotproof · cited by 1
- WithBot.isPredLimit_iffproof · cited by 1
- WithBot.isSuccPrelimit_iffproof · cited by 1
- Lagrange.interpolate_eq_sum_interpolate_insert_sdiffproof · cited by 1
- WithBot.unbot_onestatement · cited by 0