Theorems · Theorem · combinatorics
UV.compress_idem
∀ {α : Type u_1} [inst : GeneralizedBooleanAlgebra α] [inst_1 : DecidableRel Disjoint] [inst_2 : DecidableLE α]
(u v a : α), UV.compress u v (UV.compress u v a) = UV.compress u v aCompressing an element is idempotent.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botproof · cited by 4,720
- Disjointstatement and proof · cited by 2,201
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- sup_assocproof · cited by 37
- sup_idemproof · cited by 29
- UV.compressstatement · cited by 20
- sdiff_botproof · cited by 13
- le_sdiff_rightproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- UV.sup_sdiff_mem_of_mem_compressionproof · cited by 1
- UV.compress_mem_compression_of_mem_compressionproof · cited by 1
- UV.compress_mem_compressionproof · cited by 0