Theorems · Theorem · linear algebra
AlternatingMap.domLCongr_refl
∀ (R : Type u_1) [inst : Semiring R] {M : Type u_2} [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (N : Type u_3)
[inst_3 : AddCommMonoid N] [inst_4 : Module R N] (ι : Type u_7) (S : Type u_12) [inst_5 : Semiring S]
[inst_6 : Module S N] [inst_7 : SMulCommClass R S N],
AlternatingMap.domLCongr R N ι S (LinearEquiv.refl R M) = LinearEquiv.refl S (M [⋀^ι]→ₗ[R] N)- Defined in
- Mathlib.LinearAlgebra.Alternating.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearEquivstatement · cited by 3,317
- SMulCommClassstatement and proof · cited by 1,927
- AlternatingMapstatement and proof · cited by 329
- LinearEquiv.reflstatement · cited by 143
- LinearEquiv.extproof · cited by 72
- AlternatingMap.extproof · cited by 40
- AlternatingMap.domLCongrstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Orientation.map_reflproof · cited by 0