Theorems · Theorem · order theory
sSup_le_sSup_of_isCofinalFor
∀ {α : Type u_1} [inst : CompleteSemilatticeSup α] {s t : Set α}, IsCofinalFor s t → sSup s ≤ sSup t- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- CompleteSemilatticeSup
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SupSet.sSupstatement · cited by 954
- IsCofinalForstatement and proof · cited by 24
- isLUB_sSupproof · cited by 21
- CompleteSemilatticeSupstatement and proof · cited by 18
- upperBounds_mono_of_isCofinalForproof · cited by 3
- IsLeast.monoproof · cited by 2
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