Theorems · Theorem · logic and foundations
FirstOrder.Language.Embedding.codRestrict.congr_simp
∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N]
(p : L.Substructure N) (f f_1 : L.Embedding M N) (e_f : f = f_1) (h : ∀ (c : M), f c ∈ p),
FirstOrder.Language.Embedding.codRestrict p f h = FirstOrder.Language.Embedding.codRestrict p f_1 ⋯- Defined in
- Mathlib.ModelTheory.Substructures
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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- 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.Substructurestatement and proof · cited by 242
- FirstOrder.Language.Embeddingstatement and proof · cited by 128
- FirstOrder.Language.Embedding.codRestrictstatement and proof · cited by 6
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