Theorems · Theorem · logic and foundations
FirstOrder.Language.Equiv.refl_apply
∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] (x : M), (FirstOrder.Language.Equiv.refl L M) x = x- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- 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
- FirstOrder.Language.Equiv.reflstatement · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Equiv.self_comp_symmproof · cited by 3
- FirstOrder.Language.Equiv.symm_comp_selfproof · cited by 2