Theorems · Theorem · linear algebra
Module.Ray.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], Module.Ray.map (LinearEquiv.refl R M) = Equiv.refl (Module.Ray R M)- Defined in
- Mathlib.LinearAlgebra.Ray
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Equiv.reflstatement · cited by 274
- LinearEquiv.reflstatement · cited by 143
- Equiv.extproof · cited by 102
- Module.Raystatement · cited by 30
- Module.Ray.indproof · cited by 10
- Module.Ray.mapstatement · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Orientation.map_reflproof · cited by 0
- Orientation.reindex_reflproof · cited by 0