Theorems · Theorem · logic and foundations
HahnSeries.cardSuppLTAddSubmonoid.congr_simp
∀ (Γ : Type u_1) (R : Type u_2) (κ κ_1 : Cardinal.{u_1}) (e_κ : κ = κ_1) [inst : PartialOrder Γ] [inst_1 : AddMonoid R]
[hκ : Fact (Cardinal.aleph0 ≤ κ)], HahnSeries.cardSuppLTAddSubmonoid Γ R κ = HahnSeries.cardSuppLTAddSubmonoid Γ R κ_1- Defined in
- Mathlib.RingTheory.HahnSeries.Cardinal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderAddMonoidFact
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- AddMonoidstatement and proof · cited by 2,864
- Factstatement and proof · cited by 2,726
- Cardinalstatement and proof · cited by 2,598
- AddSubmonoidstatement · cited by 1,178
- HahnSeriesstatement · cited by 528
- Cardinal.aleph0statement and proof · cited by 521
- HahnSeries.cardSuppLTAddSubmonoidstatement and proof · cited by 3
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