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[Merged by Bors] - chore(analysis/normed_space/normed_group_hom): remove bound_by #7860

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bound_by f C is the same as ∥f∥ ≤ C and it is therefore useless now that we have ∥f∥.


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@riccardobrasca riccardobrasca added the awaiting-review The author would like community review of the PR label Jun 9, 2021
@@ -522,9 +516,6 @@ hg.comp hf
lemma norm_noninc_of_isometry (hf : isometry f) : f.norm_noninc :=
λ v, le_of_eq $ norm_eq_of_isometry hf v

lemma bound_by_one_of_isometry (hf : isometry f) : f.bound_by 1 :=
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Should this instead be replaced by norm_le_one_of_isometry?

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There is norm_noninc_of_isometry that combined with norm_noninc_iff_norm_le_one gives what you want.

It depends if we prefer to state lemmas about f.norm_noninc or about ∥f∥ ≤ 1 (or both of course).

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bors r+

@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 Jun 10, 2021
bors bot pushed a commit that referenced this pull request Jun 10, 2021
`bound_by f C` is the same as `∥f∥ ≤ C` and it is therefore useless now that we have `∥f∥`.
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bors bot commented Jun 10, 2021

This PR was included in a batch that successfully built, but then failed to merge into master (it was a non-fast-forward update). It will be automatically retried.

bors bot pushed a commit that referenced this pull request Jun 10, 2021
`bound_by f C` is the same as `∥f∥ ≤ C` and it is therefore useless now that we have `∥f∥`.
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bors bot commented Jun 11, 2021

Build failed (retrying...):

bors bot pushed a commit that referenced this pull request Jun 11, 2021
`bound_by f C` is the same as `∥f∥ ≤ C` and it is therefore useless now that we have `∥f∥`.
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bors bot commented Jun 11, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title chore(analysis/normed_space/normed_group_hom): remove bound_by [Merged by Bors] - chore(analysis/normed_space/normed_group_hom): remove bound_by Jun 11, 2021
@bors bors bot closed this Jun 11, 2021
@bors bors bot deleted the bound_by branch June 11, 2021 08:53
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3 participants