Theorems · Theorem · ring theory
IsStarProjection.two_mul_sub_one_mem_unitary
∀ {R : Type u_2} [inst : Ring R] [inst_1 : StarRing R] {p : R}, IsStarProjection p → 2 * p - 1 ∈ unitary R- Defined in
- Mathlib.Algebra.Star.Unitary
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- mul_oneproof · cited by 3,885
- Submonoidstatement · cited by 3,086
- one_mulproof · cited by 2,841
- StarRingstatement and proof · cited by 1,686
- mul_addproof · cited by 413
- add_mulproof · cited by 363
- two_mulproof · cited by 232
- unitarystatement and proof · cited by 207
- mul_subproof · cited by 201
- add_sub_cancel_rightproof · cited by 187
- sub_mulproof · cited by 170
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