Theorems · Theorem · group theory
Submonoid.saturation_iSup
∀ {M : Type u_1} [inst : MulOneClass M] {ι : Sort u_2} {f : ι → Submonoid M},
(iSup f).saturation = ⨆ i, (f i).saturation- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClass
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement and proof · cited by 3,086
- iSupstatement · cited by 2,415
- MulOneClassstatement and proof · cited by 1,018
- GaloisConnection.l_iSupproof · cited by 78
- SaturatedSubmonoidstatement · cited by 29
- Submonoid.saturationstatement · cited by 18
- Submonoid.gc_saturationproof · cited by 6
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