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Theorems · Theorem · group theory

FreeMonoid.of_ne_one

∀ {α : Type u_1} (a : α), FreeMonoid.of a ≠ 1
Defined in
Mathlib.Algebra.FreeMonoid.Basic
Cited by
2 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Quot.sound
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Around this declaration

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

FreeMonoid.one_ne_of · cited by 1FreeMonoid.one_ne_ofFreeRing.of_ne_one · cited by 0FreeRing.of_ne_oneFreeMonoid · cited by 147FreeMonoidFreeMonoid.of · cited by 69FreeMonoid.ofFreeMonoid.length · cited by 12FreeMonoid.lengthFreeMonoid.of_ne_oneCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.