Theorems · Theorem · group theory
Submonoid.gc_saturation
∀ (M : Type u_1) [inst : MulOneClass M], GaloisConnection Submonoid.saturation fun x => x.toSubmonoid
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- Submonoidstatement and proof · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- GaloisConnectionstatement · cited by 253
- SaturatedSubmonoidstatement and proof · cited by 29
- Submonoid.saturationstatement and proof · cited by 18
- SaturatedSubmonoid.toSubmonoidstatement and proof · cited by 14
- SaturatedSubmonoid.mem_sInfproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- Submonoid.giSaturationproof · cited by 3
- Submonoid.le_toSubmonoid_saturationproof · cited by 2
- Submonoid.saturation_le_iff_leproof · cited by 1
- Submonoid.saturation_sSupproof · cited by 0
- Submonoid.saturation_botproof · cited by 0
- Submonoid.saturation_iSupproof · cited by 0
- Submonoid.saturation_supproof · cited by 0