Theorems · Theorem · linear algebra
Matrix.map_star_eq_one
∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : NonAssocSemiring α] [inst_2 : StarRing α]
{M : Matrix n n α}, M.map star = 1 ↔ M = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- StarRingstatement and proof · cited by 1,686
- Star.starstatement and proof · cited by 1,082
- NonAssocSemiringstatement and proof · cited by 805
- Matrix.mapstatement · cited by 247
- star_zeroproof · cited by 58
- star_oneproof · cited by 33
- Function.Involutive.eq_iffproof · cited by 22
- Matrix.map_oneproof · cited by 15
- InvolutiveStar.star_involutiveproof · cited by 11
- Matrix.map_involutiveproof · cited by 4
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