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Theorems · Theorem · group theory

WithZero.zero_ne_coe

∀ {α : Type u} {a : α}, 0 ≠ ↑a
Defined in
Mathlib.Algebra.Group.WithOne.Defs
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
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Around this declaration

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

WithZero.unzeroD_eq_iff · cited by 3WithZero.unzeroD_eq_iffWithZero.unzeroD_eq_unzeroD_iff · cited by 0WithZero.unzeroD_eq_unzer…WithZero · cited by 586WithZeroWithZero.coe · cited by 186WithZero.coeWithZero.coe_ne_zero · cited by 11WithZero.coe_ne_zeroWithZero.zero_ne_coeCITED 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.