Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.CG.sup
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] {N₁ N₂ : L.Substructure M},
N₁.CG → N₂.CG → (N₁ ⊔ N₂).CG- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setproof · cited by 53,352
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- Set.Countableproof · cited by 545
- FirstOrder.Language.Substructurestatement and proof · cited by 242
- LowerAdjoint.toFunproof · cited by 105
- FirstOrder.Language.Substructure.closureproof · cited by 70
- FirstOrder.Language.Substructure.CGstatement and proof · cited by 18
- Set.Countable.unionproof · cited by 16
- FirstOrder.Language.Substructure.cg_defproof · cited by 5
- FirstOrder.Language.Substructure.closure_unionproof · cited by 4
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