Theorems · Theorem · logic and foundations
FirstOrder.Language.DefinableSet.coe_bot
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {A : Set M} {α : Type u₁}, ↑⊥ = ∅- Defined in
- Mathlib.ModelTheory.Definability
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- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Bot.botstatement · cited by 4,720
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.DefinableSetstatement · cited by 14
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