Theorems · Theorem · linear algebra
Orientation.map_refl
∀ {R : Type u_1} [inst : CommSemiring R] [inst_1 : PartialOrder R] [inst_2 : IsStrictOrderedRing R] {M : Type u_2}
[inst_3 : AddCommMonoid M] [inst_4 : Module R M] (ι : Type u_4),
Orientation.map ι (LinearEquiv.refl R M) = Equiv.refl (Orientation R M ι)- Defined in
- Mathlib.LinearAlgebra.Orientation
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- RingHom.idproof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement and proof · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- LinearEquivproof · cited by 3,317
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Orientationstatement and proof · cited by 360
- AlternatingMapproof · cited by 329
- Equiv.reflstatement and proof · cited by 274
- LinearEquiv.reflstatement and proof · cited by 143
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