Theorems · Theorem · real analysis
BoxIntegral.Prepartition.IsPartition.compl_eq_bot
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} [inst : Finite ι] {π : BoxIntegral.Prepartition I}, π.IsPartition → π.compl = ⊥- Cited by
- 1 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realproof · cited by 25,697
- Bot.botstatement · cited by 4,720
- Finitestatement and proof · cited by 3,029
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Box.toSetproof · cited by 121
- BoxIntegral.Prepartition.IsPartitionstatement and proof · cited by 30
- BoxIntegral.Prepartition.complstatement · cited by 12
- BoxIntegral.Prepartition.IsPartition.iUnion_eqproof · cited by 9
- Set.sdiff_selfproof · cited by 8
- BoxIntegral.Prepartition.iUnion_complproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.compl_topproof · cited by 1