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Theorems · Theorem · commutative algebra

CharacterModule.ext

∀ (A : Type uA) [inst : AddCommGroup A] {c c' : CharacterModule A}, (∀ (x : A), c x = c' x) → c = c'
Defined in
Mathlib.Algebra.Module.CharacterModule
Cited by
4 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CharacterModule.dual_comp · cited by 1CharacterModule.dual_compCharacterModule.dual_injective_of_surjective · cited by 1CharacterModule.dual_inje…CharacterModule.dual_zero · cited by 1CharacterModule.dual_zeroCharacterModule.ext_iff · cited by 0CharacterModule.ext_iffDFunLike.coe · cited by 62936DFunLike.coeAddCommGroup · cited by 12871AddCommGroupDFunLike.ext · cited by 240DFunLike.extAddCircle · cited by 189AddCircleCharacterModule · cited by 26CharacterModuleCharacterModule.extCITED BYCITES

Cites5

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Cited by4

Results whose statement or proof uses this declaration.