Theorems · Theorem · logic and foundations
Cardinal.le_mk_sdiff_add_mk
∀ {α : Type u} (S T : Set α), Cardinal.mk ↑S ≤ Cardinal.mk ↑(S \ T) + Cardinal.mk ↑T- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement · cited by 7,166
- LE.le.transproof · cited by 3,151
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement · cited by 942
- Cardinal.mk_le_mk_of_subsetproof · cited by 37
- Cardinal.mk_union_leproof · cited by 11
- Set.subset_sdiff_unionproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.sdiff_nonempty_of_mk_lt_mkproof · cited by 2
- Cardinal.le_mk_diff_add_mkproof · cited by 0