Theorems · Theorem · linear algebra
MulOpposite.rank
∀ {R : Type u_1} {H : Type u_2} [inst : Semiring R] [StrongRankCondition R] [inst_2 : AddCommMonoid H]
[inst_3 : Module R H] [Module.Free R H], Module.rank R Hᵐᵒᵖ = Module.rank 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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Cites11
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- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Cardinalstatement · cited by 2,598
- LinearEquiv.symmproof · cited by 1,461
- MulOppositestatement · cited by 1,135
- Module.Freestatement and proof · cited by 597
- Module.rankstatement · cited by 496
- StrongRankConditionstatement and proof · cited by 286
- MulOpposite.opLinearEquivproof · cited by 44
- Module.nonempty_linearEquiv_iff_rank_eqproof · cited by 4
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