Theorems · Theorem · group theory
SaturatedSubmonoid.iSup_def
∀ {M : Type u_1} [inst : MulOneClass M] {ι : Sort u_2} {f : ι → SaturatedSubmonoid M},
iSup f = (⨆ i, (f i).toSubmonoid).saturation- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClass
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement · cited by 3,086
- iSupstatement · cited by 2,415
- MulOneClassstatement and proof · cited by 1,018
- SaturatedSubmonoidstatement and proof · cited by 29
- Submonoid.saturationstatement · cited by 18
- SaturatedSubmonoid.toSubmonoidstatement · cited by 14
- GaloisInsertion.l_iSup_uproof · cited by 12
- Submonoid.giSaturationproof · cited by 3
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