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Theorems · Theorem · group theory

AddMonoid.exponent_pos

∀ {G : Type u} [inst : AddMonoid G], 0 < AddMonoid.exponent G ↔ AddMonoid.ExponentExists G
Defined in
Mathlib.GroupTheory.Exponent
Cited by
1 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoid
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Around this declaration

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

AddMonoid.ExponentExists.exponent_pos · cited by 2ExponentExists.exponent_p…AddMonoid · cited by 2864AddMonoidpos_iff_ne_zero · cited by 180pos_iff_ne_zeroAddMonoid.exponent · cited by 70AddMonoid.exponentAddMonoid.ExponentExists · cited by 17AddMonoid.ExponentExistsAddMonoid.exponent_ne_zero · cited by 4AddMonoid.exponent_ne_zeroAddMonoid.exponent_posCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.