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Theorems · Theorem · logic and foundations

Set.encard_insert_le

∀ {α : Type u_1} (s : Set α) (x : α), (insert x s).encard ≤ s.encard + 1
Defined in
Mathlib.Data.Set.Card
Cited by
1 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Set.ncard_insert_le · cited by 1Set.ncard_insert_leSet · cited by 53352SetENat · cited by 4985ENatSet.encard · cited by 327Set.encardSet.union_singleton · cited by 107Set.union_singletonSet.encard_singleton · cited by 26Set.encard_singletonSet.encard_union_le · cited by 4Set.encard_union_leSet.encard_insert_leCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.