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Theorems · Definition · logic and foundations

Equiv.inducedStructure

{L : FirstOrder.Language} → {M : Type u_1} → {N : Type u_2} → [L.Structure M] → M ≃ N → L.Structure N

A structure induced by a bijection.

Defined in
Mathlib.ModelTheory.Basic
Cited by
6 results in Mathlib
Foundations
Depth 17 from the axioms · uses Quot.sound
Assumes
FirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Equiv.bundledInduced · cited by 3Equiv.bundledInducedEquiv.inducedStructureEquiv · cited by 3Equiv.inducedStructureEqu…Equiv.toEquiv_inducedStructureEquiv · cited by 0Equiv.toEquiv_inducedStru…Equiv.inducedStructure_RelMap · cited by 0Equiv.inducedStructure_Re…Equiv.inducedStructure_funMap · cited by 0Equiv.inducedStructure_fu…Equiv.bundledInduced_str · cited by 0Equiv.bundledInduced_strEquiv.toFun_inducedStructureEquiv · cited by 0Equiv.toFun_inducedStruct…Equiv.toFun_inducedStructureEquiv_Symm · cited by 0Equiv.toFun_inducedStruct…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.Relations · cited by 147Language.RelationsFirstOrder.Language.Structure.funMap · cited by 69Structure.funMapFirstOrder.Language.Structure.RelMap · cited by 68Structure.RelMapEquiv.inducedStructureCITED BYCITES

Cites9

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Cited by8

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