Theorems · Theorem · linear algebra
MulOpposite.finrank
∀ {R : Type u_1} {H : Type u_2} [inst : DivisionRing R] [inst_1 : AddCommGroup H] [inst_2 : Module R H],
Module.finrank R Hᵐᵒᵖ = Module.finrank R H- Defined in
- Mathlib.LinearAlgebra.Basis.MulOpposite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Set.Elemproof · cited by 7,166
- Module.finrankstatement and proof · cited by 1,770
- Module.Basisproof · cited by 1,477
- MulOppositestatement and proof · cited by 1,135
- DivisionRingstatement and proof · cited by 1,062
- Nat.cardproof · cited by 844
- Module.Basis.ofVectorSpaceproof · cited by 30
- Module.Basis.ofVectorSpaceIndexproof · cited by 29
- Module.Basis.mulOppositeproof · cited by 7
- Module.finrank_eq_nat_card_basisproof · cited by 5
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