Theorems · Theorem · logic and foundations
Cardinal.mk_sub_le
∀ {M : Type u_2} [inst : SubNegMonoid M] {s t : Set M}, Cardinal.mk ↑(s - t) ≤ Cardinal.mk ↑s * Cardinal.mk ↑t- Defined in
- Mathlib.Algebra.Group.Pointwise.Set.Card
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SubNegMonoid
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 and proof · cited by 7,166
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Set.substatement · cited by 136
- SubNegMonoidstatement and proof · cited by 79
- Cardinal.mk_image2_leproof · cited by 4
- Set.image2_subproof · cited by 1
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