Theorems · Theorem · order theory
sInf_div
∀ {M : Type u_1} [inst : CompleteLattice M] [inst_1 : Group M] [MulLeftMono M] [MulRightMono M] (s t : Set M),
sInf (s / t) = sInf s / sSup t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
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
- Groupstatement and proof · cited by 6,238
- CompleteLatticestatement and proof · cited by 1,048
- SupSet.sSupstatement and proof · cited by 954
- InfSet.sInfstatement and proof · cited by 935
- div_eq_mul_invproof · cited by 715
- MulLeftMonostatement and proof · cited by 410
- MulRightMonostatement and proof · cited by 263
- Set.divstatement · cited by 112
- sInf_invproof · cited by 1
- sInf_mulproof · cited by 1
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