Theorems · Theorem · logic and foundations
FirstOrder.Language.DefinableSet.mem_inf
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {A : Set M} {α : Type u₁} {s t : L.DefinableSet A α}
{x : α → M}, x ∈ s ⊓ t ↔ x ∈ s ∧ x ∈ t- Defined in
- Mathlib.ModelTheory.Definability
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- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement and proof · cited by 53,352
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.DefinableSetstatement and proof · cited by 14
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