Theorems · Theorem · logic and foundations
Relation.ReflTransGen.single
∀ {α : Type u_1} {r : α → α → Prop} {a b : α}, r a b → Relation.ReflTransGen r a b- Defined in
- Mathlib.Logic.Relation
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Relation.ReflTransGenstatement · cited by 104
Cited by26
Results whose statement or proof uses this declaration.
- Relation.ReflTransGen.liftproof · cited by 10
- Relation.reflTransGen_eq_selfproof · cited by 5
- FreeGroup.Red.Step.to_redproof · cited by 4
- FreeAddGroup.Red.Step.to_redproof · cited by 4
- SimpleGraph.reachable_iff_reflTransGenproof · cited by 3
- CategoryTheory.Zigzag.of_zagproof · cited by 3
- CategoryTheory.isPreconnected_zigzagproof · cited by 2
- ContextFreeGrammar.Produces.singleproof · cited by 2
- Relation.ReflTransGen.trans_induction_onstatement and proof · cited by 2
- Turing.ToPartrec.code_is_okproof · cited by 2
- Turing.ToPartrec.cont_eval_fixproof · cited by 2
- CategoryTheory.Functor.final_of_adjunctionproof · cited by 1