[Merged by Bors] - feat(algebra/order/monoid): generalize, convert to to_additive and iff of lt_or_lt_of_mul_lt_mul
#13192
Conversation
This file contains 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
adomani
added
the
awaiting-review
|
Thanks! bors merge |
github-actions
bot
added
ready-to-merge
bors bot
pushed a commit
that referenced
this pull request
Apr 7, 2022
…iff of `lt_or_lt_of_mul_lt_mul` (#13192) I converted a lemma showing `m + n < a + b → m < a ∨ n < b` to the `to_additive` version of a lemma showing `m * n < a * b → m < a ∨ n < b`. I also added a lemma showing `m * n < a * b ↔ m < a ∨ n < b` and its `to_additive` version.
|
Pull request successfully merged into master. Build succeeded: |
bors
bot
changed the title
to_additive and iff of lt_or_lt_of_mul_lt_multo_additive and iff of lt_or_lt_of_mul_lt_mul
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
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Outdated suggestions cannot be applied.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.
I converted a lemma showing
m + n < a + b → m < a ∨ n < bto the
to_additiveversion of a lemma showingm * n < a * b → m < a ∨ n < b.I also added a lemma showing
m * n < a * b ↔ m < a ∨ n < band itsto_additiveversion.