Theorems · Theorem · order theory
AddQuantale.iSup_add_distrib
∀ {α : Type u_1} {ι : Type u_2} {x : α} {f : ι → α} [inst : AddSemigroup α] [inst_1 : CompleteLattice α]
[IsAddQuantale α], (⨆ i, f i) + x = ⨆ i, f i + x- Defined in
- Mathlib.Algebra.Order.Quantale
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement and proof · cited by 2,415
- CompleteLatticestatement and proof · cited by 1,048
- AddSemigroupstatement and proof · cited by 136
- iSup_rangeproof · cited by 24
- IsAddQuantalestatement and proof · cited by 13
- sSup_add_distribproof · cited by 4
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