Theorems · Theorem · logic and foundations
Set.encard_mono
∀ {α : Type u_3}, Monotone Set.encard- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- ENatstatement · cited by 4,985
- Monotonestatement · cited by 1,397
- Set.encardstatement · cited by 327
- Set.encard_le_encardproof · cited by 10
Cited by8
Results whose statement or proof uses this declaration.
- Set.ncard_le_ncardproof · cited by 15
- Matroid.eRk_monoproof · cited by 11
- Matroid.eRk_le_encardproof · cited by 10
- Set.Finite.encard_lt_encardproof · cited by 4
- Set.encard_le_encard_sdiff_add_encardproof · cited by 3
- Matroid.Indep.augmentproof · cited by 2
- Matroid.eRk_inter_add_eRk_union_leproof · cited by 1
- MeasureTheory.Measure.sum_restrict_leproof · cited by 0