Theorems · Theorem · logic and foundations
Cardinal.mk_strictMonoOn
∀ {α : Type u}, StrictMonoOn (Cardinal.mk ∘ Set.Elem) {s | s.Finite}- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- Set.ofPredstatement and proof · cited by 6,101
- Cardinalstatement · cited by 2,598
- Set.Finitestatement and proof · cited by 1,814
- Cardinal.mkstatement · cited by 942
- StrictMonoOnstatement · cited by 194
- Cardinal.card_lt_card_of_right_finiteproof · cited by 3
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