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Commit
2021-03-26 14:24
2b71c803
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feat(linear_algebra/dual): add the dual map (
#6807
)
Estimated changes
Modified
src/linear_algebra/dual.lean
added
def
linear_equiv.dual_map
added
theorem
linear_equiv.dual_map_apply
added
theorem
linear_equiv.dual_map_refl
added
theorem
linear_equiv.dual_map_symm
added
theorem
linear_equiv.dual_map_trans
added
def
linear_map.dual_map
added
theorem
linear_map.dual_map_apply
added
theorem
linear_map.dual_map_comp_dual_map
added
theorem
linear_map.dual_map_id
added
theorem
linear_map.findim_range_dual_map_eq_findim_range
added
theorem
linear_map.ker_dual_map_eq_dual_annihilator_range
added
theorem
linear_map.range_dual_map_eq_dual_annihilator_ker
added
theorem
linear_map.range_dual_map_le_dual_annihilator_ker