Matroid.IsBasis.cardinalMk_eq

∀ {α : Type u} {M : Matroid α} {I J X : Set α} [M.InvariantCardinalRank],
  M.IsBasis I X → M.IsBasis J X → Cardinal.mk ↑I = Cardinal.mk ↑J

Defined in: Mathlib.Combinatorics.Matroid.Rank.Cardinal
Cited by: 2 results in Mathlib
Foundations: Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Matroid.InvariantCardinalRank

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