Theorems · Theorem · ring theory
MulOpposite.invariantBasisNumber_iff
∀ {R : Type u_1} [inst : Semiring R], InvariantBasisNumber Rᵐᵒᵖ ↔ InvariantBasisNumber RInvariant basis number is left-right symmetric.
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- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- MulOppositestatement and proof · cited by 1,135
- Matrix.extproof · cited by 540
- MulOpposite.opproof · cited by 520
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