Theorems · Theorem · combinatorics
Matroid.cRk_closure_congr
∀ {α : Type u} {M : Matroid α} {X Y : Set α} [M.InvariantCardinalRank], M.closure X = M.closure Y → M.cRk X = M.cRk Y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 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.
- Setstatement and proof · cited by 53,352
- Cardinalstatement and proof · cited by 2,598
- Matroidstatement and proof · cited by 1,258
- Matroid.closurestatement and proof · cited by 272
- Matroid.cRkstatement and proof · cited by 29
- Matroid.InvariantCardinalRankstatement and proof · cited by 25
- Matroid.cRk_closureproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Matroid.cRk_union_closure_left_eqproof · cited by 2
- Matroid.cRk_union_closure_right_eqproof · cited by 1