Theorems · Theorem · group theory
Submonoid.le_toSubmonoid_saturation
∀ {M : Type u_1} [inst : MulOneClass M] {a : Submonoid M}, a ≤ a.saturation.toSubmonoid- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MulOneClassstatement and proof · cited by 1,018
- GaloisConnection.le_u_lproof · cited by 52
- Submonoid.saturationstatement · cited by 18
- SaturatedSubmonoid.toSubmonoidstatement · cited by 14
- Submonoid.gc_saturationproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Submonoid.saturation_inductionstatement and proof · cited by 1
- Submonoid.mem_saturation_iffproof · cited by 0