Theorems · Theorem · linear algebra
ExteriorAlgebra.algebraMap_eq_one_iff
∀ {R : Type u1} [inst : CommRing R] (M : Type u2) [inst_1 : AddCommGroup M] [inst_2 : Module R M] (x : R),
(algebraMap R (ExteriorAlgebra R M)) x = 1 ↔ x = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement and proof · cited by 4,706
- QuadraticFormstatement · cited by 507
- CliffordAlgebrastatement · cited by 309
- ExteriorAlgebrastatement and proof · cited by 131
- map_eq_one_iffproof · cited by 15
- ExteriorAlgebra.algebraMap_leftInverseproof · cited by 4
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