Theorems · Definition · order theory
WellFoundedGT
(α : Type u_1) → [LT α] → Prop
A class for a well-founded relation >.
- Defined in
- Mathlib.Order.RelClasses
- Cited by
- 114 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- LT
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.
- IsWellFoundedproof · cited by 18
Cited by125
Results whose statement or proof uses this declaration.
- TopologicalSpace.NoetherianSpaceproof · cited by 23
- MvPowerSeries.lexOrderstatement and proof · cited by 14
- MonomialOrder.degLexstatement and proof · cited by 10
- isNoetherian_iff'statement and proof · cited by 6
- wellFoundedGT_iff_monotone_chain_conditionstatement · cited by 6
- wellFounded_gtstatement and proof · cited by 5
- MvPowerSeries.coeff_eq_zero_of_lt_lexOrderstatement and proof · cited by 5
- MonomialOrder.lexstatement and proof · cited by 5
- WellFoundedGT.finite_ne_bot_of_iSupIndepstatement and proof · cited by 5
- PredOrder.prelimitRecOnstatement and proof · cited by 5
- isNoetherian_iffproof · cited by 4
- isNoetherian_mkstatement · cited by 4