Theorems · Theorem · nonassociative algebras
RootPairing.Base.spanIntRootSupport
∀ {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} (b : P.Base),
Submodule.span ℤ (P.rootSpanMem ℤ '' ↑b.support) = ⊤- Defined in
- Mathlib.LinearAlgebra.RootSystem.Base
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- Finsetstatement · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- Top.topstatement · cited by 9,680
- SetLike.coestatement and proof · cited by 8,199
- Submodulestatement · cited by 7,192
- Set.imagestatement and proof · cited by 5,609
- Submodule.spanstatement and proof · cited by 1,504
- RootPairingstatement and proof · cited by 710
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