Theorems · Definition · logic and foundations

FirstOrder.Language.Structure.Sigma.mk

{L : FirstOrder.Language} →
  {ι : Type v} →
    [inst : Preorder ι] →
      {G : ι → Type w} →
        [inst_1 : (i : ι) → L.Structure (G i)] →
          (f : (i j : ι) → i ≤ j → L.Embedding (G i) (G j)) → (i : ι) → G i → FirstOrder.Language.Structure.Sigma f

Constructor for FirstOrder.Language.Structure.Sigma alias.

Defined in

Mathlib.ModelTheory.DirectLimit

Cited by

11 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

PreorderFirstOrder.Language.Structure