Theorems · Theorem · group theory
fixedPoints_subgroup_antitone
∀ (M : Type u_1) (α : Type u_2) [inst : Group M] [inst_1 : MulAction M α], Antitone fun P => MulAction.fixedPoints (↥P) α
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- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- Antitonestatement · cited by 563
- GaloisConnection.monotone_uproof · cited by 53
- MulAction.fixedPointsstatement · cited by 41
- fixingSubgroup_fixedPoints_gcproof · cited by 7
- Monotone.dual_leftproof · cited by 6
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