Theorems · Theorem · logic and foundations
Equiv.inducedStructure_RelMap
∀ {L : FirstOrder.Language} {M : Type u_1} {N : Type u_2} [inst : L.Structure M] (e : M ≃ N) {n : ℕ} (r : L.Relations n)
(x : Fin n → N), FirstOrder.Language.Structure.RelMap r x = FirstOrder.Language.Structure.RelMap r (⇑e.symm ∘ x)- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Relationsstatement and proof · cited by 147
- FirstOrder.Language.Structure.RelMapstatement and proof · cited by 68
- Equiv.inducedStructurestatement · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.