Theorems · Theorem · logic and foundations
FirstOrder.Language.Equiv.ext
∀ {L : FirstOrder.Language} {M : Type w} {N : Type w'} [inst : L.Structure M] [inst_1 : L.Structure N]
⦃f g : L.Equiv M N⦄, (∀ (x : M), f x = g x) → f = g- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Equivstatement and proof · cited by 83
- FirstOrder.Language.Equiv.coe_injectiveproof · cited by 1
Cited by4
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
- FirstOrder.Language.Equiv.injective_compproof · cited by 0
- FirstOrder.Language.Equiv.ext_iffproof · cited by 0