Theorems · Theorem · logic and foundations
FirstOrder.Language.Equiv.cg_iff
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] {N : Type u_2} [inst_1 : L.Structure N]
(f : L.Equiv M N), FirstOrder.Language.Structure.CG L M ↔ FirstOrder.Language.Structure.CG L N- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
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- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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- Equiv.symmproof · cited by 3,681
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- Equiv.surjectiveproof · cited by 198
- FirstOrder.Language.Equivstatement and proof · cited by 83
- FirstOrder.Language.Equiv.symmproof · cited by 32
- FirstOrder.Language.Structure.CGstatement and proof · cited by 16
- FirstOrder.Language.Equiv.toEquivproof · cited by 12
- FirstOrder.Language.Equiv.toHomproof · cited by 11
- FirstOrder.Language.Structure.CG.map_of_surjectiveproof · cited by 1
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