Theorems · Theorem · commutative algebra
Algebra.PreSubmersivePresentation.card_relations_le_card_vars_of_isFinite
∀ {R : Type u} {S : Type v} {ι : Type w} {σ : Type t} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : Algebra.PreSubmersivePresentation R S ι σ) [Finite ι], Nat.card σ ≤ Nat.card ι- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Finitestatement and proof · cited by 3,029
- Nat.cardstatement · cited by 844
- Algebra.PreSubmersivePresentationstatement and proof · cited by 54
- Algebra.PreSubmersivePresentation.mapproof · cited by 34
- Nat.card_le_card_of_injectiveproof · cited by 19
- Algebra.PreSubmersivePresentation.map_injproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.