Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.mem_withConstants
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {S : L.Substructure M} {A : Set M} (h : A ⊆ ↑S) {x : M},
x ∈ S.withConstants h ↔ x ∈ S- Defined in
- Mathlib.ModelTheory.Substructures
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses no axioms
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- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemstatement · cited by 7,166
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement and proof · cited by 242
- FirstOrder.Language.withConstantsstatement · cited by 108
- FirstOrder.Language.Substructure.withConstantsstatement · cited by 5
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