Theorems · Theorem · combinatorics
Matroid.IsBase.cardinalMk_diff_comm
Deprecated since 2026-06-03Use Matroid.IsBase.cardinalMk_sdiff_comm instead.
∀ {α : Type u} {M : Matroid α} {B B' : Set α} [M.InvariantCardinalRank],
M.IsBase B → M.IsBase B' → Cardinal.mk ↑(B \ B') = Cardinal.mk ↑(B' \ B)Alias of Matroid.IsBase.cardinalMk_sdiff_comm.
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- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Cardinalstatement · cited by 2,598
- Matroidstatement · cited by 1,258
- Cardinal.mkstatement · cited by 942
- Matroid.IsBasestatement · cited by 239
- Matroid.InvariantCardinalRankstatement · cited by 25
- Matroid.IsBase.cardinalMk_sdiff_commproof · cited by 1
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