Theorems · Theorem · nonassociative algebras
RootPairing.RootFormIn.congr_simp
∀ {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) (S : Type u_5)
[inst_5 : CommRing S] [inst_6 : Algebra S R] [inst_7 : FaithfulSMul S R] [inst_8 : Module S M]
[inst_9 : IsScalarTower S R M] [inst_10 : P.IsValuedIn S] [inst_11 : Fintype ι], P.RootFormIn S = P.RootFormIn S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- Algebrastatement and proof · cited by 11,388
- Fintypestatement and proof · cited by 7,736
- Submodulestatement · cited by 7,192
- IsScalarTowerstatement and proof · cited by 3,896
- RootPairingstatement and proof · cited by 710
- LinearMap.BilinFormstatement · cited by 501
- FaithfulSMulstatement and proof · cited by 340
- RootPairing.IsValuedInstatement and proof · cited by 108
- RootPairing.rootSpanstatement · cited by 55
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