Theorems · Theorem · order theory
SetRel.IsWellFounded.inv_of_finiteDimensional
∀ {α : Type u_1} (r : SetRel α α) [r.FiniteDimensional], r.inv.IsWellFounded- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SetRel.FiniteDimensional
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.
- SetRelstatement and proof · cited by 581
- LT.lt.not_geproof · cited by 305
- RelSeries.lengthproof · cited by 195
- RelSeriesproof · cited by 129
- SetRel.invstatement and proof · cited by 36
- SetRel.FiniteDimensionalstatement and proof · cited by 10
- wellFounded_iff_isEmpty_descending_chainproof · cited by 5
- RelSeries.length_le_length_longestOfproof · cited by 3
- RelSeries.longestOfproof · cited by 2
- SetRel.IsWellFoundedstatement · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SetRel.IsWellFounded.of_finiteDimensionalproof · cited by 1