Theorems · Theorem · linear algebra

Module.Basis.coe_mapCoeffs

∀ {ι : Type u_10} {R : Type u_11} {M : Type u_12} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  (b : Module.Basis ι R M) {R' : Type u_13} [inst_3 : Semiring R'] [inst_4 : Module R' M] (f : R ≃+* R')
  (h : ∀ (c : R) (x : M), f c • x = c • x), ⇑(b.mapCoeffs f h) = ⇑b

Defined in

Mathlib.LinearAlgebra.Basis.Defs

Cited by

3 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleSemiringModule