Theorems · Theorem · logic and foundations
Cardinal.mk_strictMono
∀ {α : Type u} [Finite α], StrictMono (Cardinal.mk ∘ Set.Elem)- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
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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
- Finitestatement and proof · cited by 3,029
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement · cited by 942
- StrictMonostatement · cited by 706
- Set.toFiniteproof · cited by 174
- Cardinal.card_lt_card_of_right_finiteproof · cited by 3
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