Theorems · Theorem · group theory
fixedPoints_addSubmonoid_sup
∀ (M : Type u_1) (α : Type u_2) [inst : AddMonoid M] [inst_1 : AddAction M α] {P Q : AddSubmonoid M},
AddAction.fixedPoints (↥(P ⊔ Q)) α = AddAction.fixedPoints (↥P) α ∩ AddAction.fixedPoints (↥Q) α- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement and proof · cited by 1,178
- AddActionstatement and proof · cited by 820
- GaloisConnection.u_infproof · cited by 37
- AddAction.fixedPointsstatement · cited by 20
- fixingAddSubmonoid_fixedPoints_gcproof · cited by 6
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