Theorems · Theorem · combinatorics
Finset.shadow_monotone
∀ {α : Type u_1} [inst : DecidableEq α], Monotone Finset.shadowThe shadow is monotone.
- Defined in
- Mathlib.Combinatorics.SetFamily.Shadow
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Monotonestatement · cited by 1,397
- Finset.shadowstatement · cited by 35
- Finset.sup_monoproof · cited by 25
Cited by2
Results whose statement or proof uses this declaration.
- Finset.Colex.IsInitSeg.shadowproof · cited by 1
- Finset.shadow_monoproof · cited by 1