Theorems · Theorem · logic and foundations
FirstOrder.Language.Substructure.fg_bot
∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M], ⊥.FG- Defined in
- Mathlib.ModelTheory.FinitelyGenerated
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Bot.botstatement and proof · cited by 4,720
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Substructurestatement and proof · cited by 242
- Finset.coe_emptyproof · cited by 109
- LowerAdjoint.toFunproof · cited by 105
- FirstOrder.Language.Substructure.closureproof · cited by 70
- FirstOrder.Language.Substructure.FGstatement · cited by 34
- FirstOrder.Language.Substructure.closure_emptyproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.IsFraisseLimit.nonempty_equivproof · cited by 1
- FirstOrder.Language.Substructure.cg_botproof · cited by 0