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[Merged by Bors] - feat(linear_algebra/finite_dimensional): add dim_sup_add_dim_inf_eq #3304

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@kbuzzard kbuzzard commented Jul 7, 2020

Adding a finite-dimensional version of dim(W+X)+dim(W \cap X)=dim(W)+dim(X)


@kbuzzard kbuzzard added the awaiting-review The author would like community review of the PR label Jul 7, 2020
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bors merge

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Jul 7, 2020
bors bot pushed a commit that referenced this pull request Jul 7, 2020
…3304)

Adding a finite-dimensional version of dim(W+X)+dim(W \cap X)=dim(W)+dim(X)
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Pull request successfully merged into master.

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@bors bors bot changed the title feat(linear_algebra/finite_dimensional): add dim_sup_add_dim_inf_eq [Merged by Bors] - feat(linear_algebra/finite_dimensional): add dim_sup_add_dim_inf_eq Jul 7, 2020
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@bors bors bot deleted the dim_sup_add_dim_inf_eq branch July 7, 2020 18:22
begin
have key : dim K ↥(s ⊔ t) + dim K ↥(s ⊓ t) = dim K s + dim K t := dim_sup_add_dim_inf_eq s t,
repeat { rw ←findim_eq_dim at key },
norm_cast at key,
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exact_mod_cast key also works

cipher1024 pushed a commit to cipher1024/mathlib that referenced this pull request Mar 15, 2022
…eanprover-community#3304)

Adding a finite-dimensional version of dim(W+X)+dim(W \cap X)=dim(W)+dim(X)
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