Theorems · Theorem · order theory
IsMin.eq_of_le
∀ {α : Type u_1} [inst : PartialOrder α] {a b : α}, IsMin a → b ≤ a → b = a- Defined in
- Mathlib.Order.Max
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- PartialOrder
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.
- PartialOrderstatement and proof · cited by 6,410
- LE.le.antisymmproof · cited by 507
- IsMinstatement and proof · cited by 277
Cited by5
Results whose statement or proof uses this declaration.
- Order.pred_eq_iff_isMinproof · cited by 8
- IsMin.Iic_eqproof · cited by 3
- csSup_mem_of_not_isSuccLimitproof · cited by 3
- PrimeSpectrum.isOpen_singleton_tfae_of_isNoetherian_of_isJacobsonRingproof · cited by 2
- IsTop.not_isMinproof · cited by 1