Theorems · Theorem · combinatorics
Matroid.contract_eq_delete_of_subset_coloops
∀ {α : Type u_1} {M : Matroid α} {X : Set α}, X ⊆ M.coloops → M.contract X = M.delete X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Matroidstatement and proof · cited by 1,258
- Matroid.contractstatement and proof · cited by 103
- Matroid.deletestatement and proof · cited by 86
- Matroid.dualproof · cited by 79
- Matroid.coloopsstatement and proof · cited by 34
- Matroid.dual_contractproof · cited by 9
- Matroid.dual_injproof · cited by 8
- Matroid.dual_deleteproof · cited by 5
- Matroid.contract_eq_delete_of_subset_loopsproof · cited by 1
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