Theorems · Theorem · order theory
CovBy.exists_finset_cons
∀ {α : Type u_1} {s t : Finset α}, s ⋖ t → ∃ a, ∃ (ha : a ∉ s), Finset.cons a s ha = t- Defined in
- Mathlib.Data.Finset.Grade
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- CovBystatement and proof · cited by 290
- Finset.consstatement and proof · cited by 221
- CovBy.ltproof · cited by 51
- LE.le.eq_of_not_ssupersetproof · cited by 3
- Finset.ssubset_consproof · cited by 1
- Finset.ssubset_iff_exists_cons_subsetproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CovBy.exists_finset_insertproof · cited by 0
- Finset.covBy_iff_exists_consproof · cited by 0