Theorems · Definition · logic and foundations
FirstOrder.Language.Prestructure.noConfusion
{P : Sort u} →
{L : FirstOrder.Language} →
{M : Type u_1} →
{s : Setoid M} →
{t : L.Prestructure s} →
{L' : FirstOrder.Language} →
{M' : Type u_1} →
{s' : Setoid M'} →
{t' : L'.Prestructure s'} →
L = L' → M = M' → s ≍ s' → t ≍ t' → FirstOrder.Language.Prestructure.noConfusionType P t t'- Defined in
- Mathlib.ModelTheory.Quotients
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structureproof · cited by 775
- FirstOrder.Language.Functionsproof · cited by 153
- FirstOrder.Language.Relationsproof · cited by 147
- FirstOrder.Language.Structure.funMapproof · cited by 69
- FirstOrder.Language.Structure.RelMapproof · cited by 68
- FirstOrder.Language.Prestructurestatement and proof · cited by 5
- FirstOrder.Language.Prestructure.casesOnproof · cited by 0
- FirstOrder.Language.Prestructure.noConfusionTypestatement · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Prestructure.mk.noConfusionproof · cited by 0