Theorems · Theorem · logic and foundations
FirstOrder.Language.IsFraisse.is_equiv_invariant
∀ {L : FirstOrder.Language} {K : Set (CategoryTheory.Bundled L.Structure)} [h : FirstOrder.Language.IsFraisse K]
{M N : CategoryTheory.Bundled L.Structure}, Nonempty (L.Equiv ↑M ↑N) → (M ∈ K ↔ N ∈ K)- Defined in
- Mathlib.ModelTheory.Fraisse
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- 0 results in Mathlib
- Foundations
- Depth 86 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
- CategoryTheory.Bundled.αstatement and proof · cited by 736
- FirstOrder.Language.Equivstatement and proof · cited by 83
- CategoryTheory.Bundledstatement and proof · cited by 42
- FirstOrder.Language.IsFraissestatement and proof · cited by 11
- FirstOrder.Language.Hereditary.is_equiv_invariant_of_fgproof · cited by 2
- FirstOrder.Language.IsFraisse.FGproof · cited by 1
- FirstOrder.Language.IsFraisse.hereditaryproof · cited by 1
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