Theorems · Theorem · order theory
WithBot.bot_covBy_coe
∀ {α : Type u_1} [inst : Preorder α] {a : α}, ⊥ ⋖ ↑a ↔ IsMin a- Defined in
- Mathlib.Order.Cover
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Bot.botstatement · cited by 4,720
- WithBotstatement · cited by 1,498
- WithBot.somestatement · cited by 541
- CovBystatement · cited by 290
- IsMinstatement and proof · cited by 277
- WithBot.bot_lt_coeproof · cited by 37
- Set.image_eq_emptyproof · cited by 11
- Set.Iio_eq_empty_iffproof · cited by 5
- WithBot.image_coe_Iioproof · cited by 3
- covBy_iff_Ioo_eqproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- WithBot.isSuccPrelimit_iffproof · cited by 1