Theorems · Theorem · logic and foundations
Set.encard_ne_add_one
∀ {α : Type u_1} (a : α), {x | x ≠ a}.encard + 1 = ENat.card α- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- ENatstatement and proof · cited by 4,985
- Set.univproof · cited by 3,945
- Set.extproof · cited by 2,266
- Disjointproof · cited by 2,201
- eq_or_neproof · cited by 1,117
- Set.encardstatement and proof · cited by 327
- Set.union_singletonproof · cited by 107
- ENat.cardstatement · cited by 89
- Set.encard_singletonproof · cited by 26
- Set.disjoint_singleton_rightproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.iUnion_ssubset_of_forall_ne_top_of_card_ltproof · cited by 1