Theorems · Theorem · number theory
QuadraticMap.polarBilin_injective
∀ {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], IsUnit 2 → Function.Injective QuadraticMap.polarBilin- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Quot.sound
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Cites11
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
- AddCommMonoidproof · cited by 12,281
- IsUnitstatement and proof · cited by 1,602
- QuadraticMapstatement and proof · cited by 262
- Nat.cast_smul_eq_nsmulproof · cited by 110
- LinearMap.BilinMapstatement · cited by 85
- LinearMap.BilinMap.toQuadraticMapproof · cited by 53
- QuadraticMap.polarBilinstatement and proof · cited by 25
- IsUnit.smul_left_cancelproof · cited by 9
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