Theorems · Theorem · linear algebra
AlternatingMap.ext
∀ {R : Type u_1} [inst : Semiring R] {M : Type u_2} [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {N : Type u_3}
[inst_3 : AddCommMonoid N] [inst_4 : Module R N] {ι : Type u_7} {f f' : M [⋀^ι]→ₗ[R] N},
(∀ (x : ι → M), f x = f' x) → f = f'- Defined in
- Mathlib.LinearAlgebra.Alternating.Basic
- Cited by
- 40 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- AlternatingMapstatement and proof · cited by 329
- DFunLike.extproof · cited by 240
Cited by40
Results whose statement or proof uses this declaration.
- Module.Basis.det_isEmptyproof · cited by 4
- AlternatingMap.coe_multilinearMap_injectiveproof · cited by 3
- Orientation.map_of_isEmptyproof · cited by 2
- Module.Basis.det_adjustToOrientationproof · cited by 2
- AlternatingMap.domDomCongr_permproof · cited by 1
- AlternatingMap.domLCongr_reflproof · cited by 1
- AlternatingMap.ext_iffproof · cited by 1
- ModuleCat.AlternatingMap.extproof · cited by 1
- Pi.basisFun_detproof · cited by 1
- ExteriorAlgebra.ιMulti_succ_curryLeftproof · cited by 1
- exteriorPower.map_compproof · cited by 1
- exteriorPower.map_idproof · cited by 1