Theorems · Theorem · number theory
QuadraticMap.polar_sub_left
∀ {R : Type u_3} {M : Type u_4} {N : Type u_5} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : AddCommGroup N]
[inst_3 : Module R M] [inst_4 : Module R N] (Q : QuadraticMap R M N) (x x' y : M),
QuadraticMap.polar (⇑Q) (x - x') y = QuadraticMap.polar (⇑Q) x y - QuadraticMap.polar (⇑Q) x' y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- sub_eq_add_negproof · cited by 1,023
- QuadraticMapstatement and proof · cited by 262
- QuadraticMap.polarstatement and proof · cited by 50
- QuadraticMap.polar_add_leftproof · cited by 2
- QuadraticMap.polar_neg_leftproof · cited by 1
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