Mathlib Map

Theorems · Theorem · logic and foundations

FirstOrder.Language.LHom.map_onRelation

∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} (ϕ : L →ᴸ L') {M : Type u_1} [inst : L.Structure M]
  [inst_1 : L'.Structure M] [ϕ.IsExpansionOn M] {n : ℕ} (R : L.Relations n) (x : Fin n → M),
  FirstOrder.Language.Structure.RelMap (ϕ.onRelation R) x = FirstOrder.Language.Structure.RelMap R x
Defined in
Mathlib.ModelTheory.LanguageMap
Cited by
3 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
FirstOrder.Language.StructureFirstOrder.Language.StructureFirstOrder.Language.LHom.IsExpansionOn
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FirstOrder.Language.LHom.realize_onBoundedFormula · cited by 2LHom.realize_onBoundedFor…FirstOrder.Language.BoundedFormula.realize_constantsVarsEquiv · cited by 1BoundedFormula.realize_co…FirstOrder.Language.withConstants_relMap_sumInl · cited by 0Language.withConstants_re…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Relations · cited by 147Language.RelationsFirstOrder.Language.Structure.RelMap · cited by 68Structure.RelMapFirstOrder.Language.LHom · cited by 66Language.LHomFirstOrder.Language.LHom.IsExpansionOn · cited by 31LHom.IsExpansionOnFirstOrder.Language.LHom.onRelation · cited by 27LHom.onRelationFirstOrder.Language.LHom.IsExpansionOn.map_onRelation · cited by 1IsExpansionOn.map_onRelat…LHom.map_onRelationCITED BYCITES

Cites8

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Cited by3

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