Theorems · Theorem · order theory
ciSup_sub
∀ {ι : Type u_1} {G : Type u_2} [inst : AddGroup G] [inst_1 : ConditionallyCompleteLattice G] [Nonempty ι] {f : ι → G}
[AddRightMono G], BddAbove (Set.range f) → ∀ (a : G), (⨆ i, f i) - a = ⨆ i, f i - a- Cited by
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- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.rangestatement and proof · cited by 4,705
- AddGroupstatement and proof · cited by 4,410
- iSupstatement and proof · cited by 2,415
- sub_eq_add_negproof · cited by 1,023
- BddAbovestatement and proof · cited by 620
- AddRightMonostatement and proof · cited by 367
- ConditionallyCompleteLatticestatement and proof · cited by 364
- ciSup_addproof · cited by 1
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