Theorems · Definition · logic and foundations
FirstOrder.Language.Equiv.refl
(L : FirstOrder.Language) → (M : Type w) → [inst : L.Structure M] → L.Equiv M M
The identity equivalence from a structure to itself.
- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- Equiv.reflproof · cited by 274
- FirstOrder.Language.Equivstatement · cited by 83
Cited by7
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Equiv.self_comp_symmstatement and proof · cited by 3
- FirstOrder.Language.Equiv.refl_applystatement · cited by 2
- FirstOrder.Language.Equiv.refl_toEmbeddingstatement · cited by 2
- FirstOrder.Language.Equiv.refl_toHomstatement · cited by 2
- FirstOrder.Language.Equiv.symm_comp_selfstatement and proof · cited by 2
- FirstOrder.Language.Equiv.comp_reflstatement · cited by 1
- FirstOrder.Language.Equiv.refl_compstatement · cited by 0