Theorems · Theorem · logic and foundations
FirstOrder.Language.Hom.range_le_iff_comap
∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N] {f : L.Hom M N}
{p : L.Substructure N}, f.range ≤ p ↔ FirstOrder.Language.Substructure.comap f p = ⊤- Defined in
- Mathlib.ModelTheory.Substructures
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- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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- Top.topstatement and proof · cited by 9,680
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement and proof · cited by 242
- eq_top_iffproof · cited by 236
- FirstOrder.Language.Homstatement and proof · cited by 107
- FirstOrder.Language.Substructure.comapstatement and proof · cited by 31
- FirstOrder.Language.Hom.rangestatement · cited by 30
- FirstOrder.Language.Hom.range_eq_mapproof · cited by 7
- FirstOrder.Language.Substructure.map_le_iff_le_comapproof · cited by 3
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