Theorems · Theorem · logic and foundations
Set.TermDefinable.mono
∀ {M : Type w} {A : Set M} {L : FirstOrder.Language} [inst : L.Structure M] {α : Type u₁} {B : Set M} {f : (α → M) → M},
A.TermDefinable L f → A ⊆ B → B.TermDefinable L f- Defined in
- Mathlib.ModelTheory.Definability
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, 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
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- Set.inclusionproof · cited by 145
- Set.TermDefinablestatement and proof · cited by 12
- FirstOrder.Language.lhomWithConstantsMapproof · cited by 3
- Set.termDefinable_empty_withConstants_iffproof · cited by 1
- Set.TermDefinable.map_expansionproof · cited by 1
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