This repository was archived by the owner on Jul 24, 2024. It is now read-only.
feat(order/filter,topology/instances/nnreal): upgrade some lemmas to iff#18964
Open
feat(order/filter,topology/instances/nnreal): upgrade some lemmas to iff#18964
iff#18964Conversation
github-actions
bot
added
the
modifies-synchronized-file
urkud
added
t-topology
eric-wieser
reviewed
May 7, 2023
eric-wieser
reviewed
May 7, 2023
eric-wieser
reviewed
May 7, 2023
eric-wieser
reviewed
May 8, 2023
| lemma le_sup_right_iff_inf_left_le {a b} (h : is_compl x y) : a ≤ b ⊔ y ↔ a ⊓ x ≤ b := | ||
| ⟨h.inf_left_le_of_le_sup_right, h.symm.dual.inf_left_le_of_le_sup_right⟩ | ||
|
|
||
| lemma sup_inf_sup_eq (h : is_compl x y) : (a ⊔ x) ⊓ (b ⊔ y) = (b ⊓ x) ⊔ (a ⊓ y) := |
Member
There was a problem hiding this comment.
I think sup_inf_sup_comm is the standard name for this type of thing, though usually we'd order it as
Suggested change
| lemma sup_inf_sup_eq (h : is_compl x y) : (a ⊔ x) ⊓ (b ⊔ y) = (b ⊓ x) ⊔ (a ⊓ y) := | |
| lemma sup_inf_sup_comm (h : is_compl a d) : (a ⊔ b) ⊓ (c ⊔ d) = (a ⊓ c) ⊔ (b ⊓ d) := |
Maybe it's convenient to have both
kim-em
added
the
awaiting-author
Member
Author
|
|
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to subscribe to this conversation on GitHub.
Already have an account?
Sign in.
4 participants
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
codisjoint.inf_left_sup_inf_rightandis_compl.le_inf_sup_inf.filter.comap_ite,filter.comap_max, andfilter.tendsto_ite.real.map_to_nnreal_at_top,real.comap_to_nnreal_at_top, andreal.tendsto_to_nnreal_at_top_iff.tendsto_real_to_nnrealtofilter.tendsto.real_to_nnrealso that it can be used with dot notation.
ennreal.tendsto_of_real_nhds_top.I'm cleaning up old local branches. I don't remember why I wanted to
have these lemmas but IMHO upgrading from implications to
iffs is agood thing.