Theorem: orthSpace_injective (Matroid/ForMathlib/LinearAlgebra/StdBasis.lean)

State before:
α : Type u_1
R : Type u_2
η✝¹ : Type u_3
ι : Type u_4
η✝ : Type u_5
inst✝⁴ : CommRing R
x : η✝ → R
U✝¹ V✝ : Submodule R (η✝ → R)
K✝ : Type u_6
inst✝³ : Field K✝
inst✝² : Fintype η✝
U✝ V : Subspace K✝ (η✝ → K✝)
η : Type u_7
K : Type u_8
inst✝¹ : Fintype η
inst✝ : Field K
U U' : Submodule K (η → K)
h : U.orthSpace = U'.orthSpace
⊢ U = U'
Tactic:
simpa using congr_arg Submodule.orthSpace h
State after:
no goals