Theorems · Theorem · order theory
WithBot.preimage_coe_bot
∀ {α : Type u_1}, WithBot.some ⁻¹' {⊥} = ∅- Defined in
- Mathlib.Order.Interval.Set.WithBotTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.preimagestatement · cited by 4,946
- Bot.botstatement · cited by 4,720
- WithBotstatement · cited by 1,498
- WithBot.somestatement · cited by 541
- WithBot.coe_ne_botproof · cited by 29
- Set.eq_empty_of_subset_emptyproof · cited by 15
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