Theorems · Theorem · nonassociative algebras
RootPairing.IsG2.card_base_support_eq_two
∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : CommRing R] [inst_1 : AddCommGroup M]
[inst_2 : Module R M] [inst_3 : AddCommGroup N] [inst_4 : Module R N] {P : RootPairing ι R M N} [P.IsG2] (b : P.Base)
[Finite ι] [CharZero R] [IsDomain R], b.support.card = 2- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Finitestatement and proof · cited by 3,029
- Finset.cardstatement and proof · cited by 2,327
- IsDomainstatement and proof · cited by 2,196
- CharZerostatement and proof · cited by 932
- RootPairingstatement and proof · cited by 710
- Fintype.card_finproof · cited by 270
- RootPairing.Basestatement and proof · cited by 148
- RootPairing.Base.supportstatement and proof · cited by 139
- Fintype.card_coeproof · cited by 72
Cited by1
Results whose statement or proof uses this declaration.
- RootPairing.IsG2.span_eq_rootSpan_intproof · cited by 1