Theorems · Theorem · linear algebra

LinearMap.flip_flip

∀ {R : Type u_1} {R₂ : Type u_2} {S : Type u_3} {S₂ : Type u_4} [inst : Semiring R] [inst_1 : Semiring R₂]
  [inst_2 : Semiring S] [inst_3 : Semiring S₂] {M : Type u_5} {N : Type u_7} {P : Type u_9} [inst_4 : AddCommMonoid M]
  [inst_5 : AddCommMonoid N] [inst_6 : AddCommMonoid P] [inst_7 : Module R M] [inst_8 : Module S N]
  [inst_9 : Module R₂ P] [inst_10 : Module S₂ P] [inst_11 : SMulCommClass S₂ R₂ P] {ρ₁₂ : R →+* R₂} {σ₁₂ : S →+* S₂}
  (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P), f.flip.flip = f

Defined in

Mathlib.LinearAlgebra.BilinearMap

Cited by

3 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Quot.sound

Assumes

SemiringSemiringSemiringSemiringAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModuleModuleSMulCommClass