Theorems · Theorem · order theory
ciSup_const
∀ {α : Type u_1} {ι : Sort u_4} [inst : ConditionallyCompletePartialOrderSup α] [hι : Nonempty ι] {a : α}, ⨆ x, a = a- Cited by
- 43 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- iSupstatement · cited by 2,415
- SupSet.sSupproof · cited by 954
- ConditionallyCompletePartialOrderSupstatement and proof · cited by 52
- Set.range_constproof · cited by 25
- csSup_singletonproof · cited by 6
Cited by43
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_zero_measureproof · cited by 34
- ciSup_uniqueproof · cited by 16
- Matroid.IsBase.encard_eq_eRankproof · cited by 10
- Matroid.IsBase.cardinalMk_eq_cRankproof · cited by 6
- ENNReal.add_iSupproof · cited by 5
- MvPowerSeries.gaussNorm_zeroproof · cited by 4
- Height.mulHeight_oneproof · cited by 4
- ProbabilityTheory.Kernel.bound_eq_oneproof · cited by 4
- Urysohns.CU.lim_of_mem_Cproof · cited by 4
- Urysohns.CU.lim_of_notMem_Uproof · cited by 4
- ENat.add_iSupproof · cited by 3
- Order.krullDim_of_noMaxOrderproof · cited by 3