Theorems · Theorem · order theory
CovBy.is_atom
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : OrderBot α] {a : α}, ⊥ ⋖ a → IsAtom aAlias of the forward direction of bot_covBy_iff.
- Defined in
- Mathlib.Order.Atoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderOrderBot
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Bot.botstatement · cited by 4,720
- OrderBotstatement and proof · cited by 1,055
- CovBystatement · cited by 290
- IsAtomstatement · cited by 130
- bot_covBy_iffproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.