Theorems · Theorem · order theory
SetRel.irrefl
∀ {α : Type u_1} (R : SetRel α α) (a : α) [R.IsIrrefl], (a, a) ∉ R- Defined in
- Mathlib.Data.Rel
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- SetRel.IsIrrefl
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetRelstatement and proof · cited by 581
- irrefl_ofproof · cited by 8
- SetRel.IsIrreflstatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- RelSeries.length_ne_zeroproof · cited by 2