feat(RingTheory/Valuation): add IsTrivialOn_lemmas

[mariainesdff]

Co-authored by : @xgenereux

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[github-actions]

PR summary e98e5080e3

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ IsTrivialOn.of_le_one
+ isTrivialOn
+ isTrivialOn_iff

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for scripts/declarations_diff.sh contains some details about this script.

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No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[chrisflav]

Thanks!
maintainer delegate

[chrisflav]

Suggested change

	theorem isTrivialOn (A : Type*) [CommSemiring A] [Algebra A R] (h : v₁.IsEquiv v₂)
	theorem isTrivialOn {A : Type*} [CommSemiring A] [Algebra A R] (h : v₁.IsEquiv v₂)

[chrisflav]

Suggested change

	theorem isTrivialOn_iff (A : Type*) [CommSemiring A] [Algebra A R] (h : v₁.IsEquiv v₂) :
	theorem isTrivialOn_iff {A : Type*} [CommSemiring A] [Algebra A R] (h : v₁.IsEquiv v₂) :

[chrisflav]

Suggested change

	theorem IsTrivialOn.of_le_one {O : Type w} [Field O] [Algebra O R] (v : Valuation R Γ₀)
	(hle : ∀ (x : O), v (algebraMap O R x) ≤ 1) : v.IsTrivialOn O where
	theorem IsTrivialOn.of_le_one {k : Type*} [Field k] [Algebra k R] (v : Valuation R Γ₀)
	(hle : ∀ (x : k), v (algebraMap k R x) ≤ 1) : v.IsTrivialOn k where

k seems like a more usual variable name for a field than O?

[github-actions]

🚀 Pull request has been placed on the maintainer queue by chrisflav.

[riccardobrasca]

Thanks!

bors d+

[mathlib-bors]

✌️ mariainesdff can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.