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to_anaysis/inner_product_space/tensor_product.lean
sorry
to_anaysis/inner_product_space/tensor_power.lean
combinatorics/simple_graph/cyclic
combinatorics/simple_graph/independent
independence_number_eq_bcsupr
independence_number_le_lovasz_number_at
real.Sup_mul_Sup
pow_lovasz_number_at
combinatorics/simple_graph/shannon_capacity
combinatorics/simple_graph/strong_product
linear_algebra/tensor_power
five_cycles
lovasz_umbrella.to_fun
lovasz_umbrella.norm_eq_one'
inner_eq_zero_of_ne_of_not_adj'
inner_lovasz_umbrella_e₁
lovasz_number_at_lovasz_umbrella_eq
le_shannon_capacity_cyclic_graph_five
strong_pow_two_independence_number :5 ≤ (⊠^2 (cyclic 5)).independence_number
1 sorry (independence_number_le_lovasz_number_at) is a linear algebra problem. 4 sorries are about constructing the lovasz_umbrella.
lovasz_umbrella
The text was updated successfully, but these errors were encountered:
Thanks @jjaassoonn !
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Now it is just 5 sorry!
to_anaysis/inner_product_space/tensor_product.lean
:sorry
freeto_anaysis/inner_product_space/tensor_power.lean
:sorry
freecombinatorics/simple_graph/cyclic
:sorry
freecombinatorics/simple_graph/independent
: 1sorry
leftindependence_number_eq_bcsupr
: a version of finite graph is in feat(combinatorics/simple_graph/independent):independence_number_eq_bcsupr
#4combinatorics/simple_graph/independent
: 3sorry
leftindependence_number_le_lovasz_number_at
: probably needs to prove orthonormal sets can be extends to orthonormal basis.real.Sup_mul_Sup
(supremum of the pointwise product of two sets is the products of their supremum) done in e7b6401pow_lovasz_number_at
done in 3ec0df2combinatorics/simple_graph/shannon_capacity
:sorry
freecombinatorics/simple_graph/strong_product
:sorry
freelinear_algebra/tensor_power
:sorry
freefive_cycles
: 5sorry
lovasz_umbrella.to_fun
lovasz_umbrella.norm_eq_one'
: should follow fromlovasz_umbrella.to_fun
inner_eq_zero_of_ne_of_not_adj'
: should follow fromlovasz_umbrella.to_fun
inner_lovasz_umbrella_e₁
: should follow fromlovasz_umbrella.to_fun
lovasz_number_at_lovasz_umbrella_eq
finished in 1d35361reduced tole_shannon_capacity_cyclic_graph_five
strong_pow_two_independence_number :5 ≤ (⊠^2 (cyclic 5)).independence_number
in 483f91a, finished in 379e26c.1 sorry (
independence_number_le_lovasz_number_at
) is a linear algebra problem. 4 sorries are about constructing thelovasz_umbrella
.The text was updated successfully, but these errors were encountered: