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Theorems · Theorem · commutative algebra

invOf_two_add_invOf_two

∀ {R : Type u_1} [inst : NonAssocSemiring R] [inst_1 : Invertible 2], ⅟2 + ⅟2 = 1
Defined in
Mathlib.Algebra.Ring.Invertible
Cited by
3 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext
Assumes
NonAssocSemiringInvertible
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Around this declaration

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

invOf_two_smul_add_invOf_two_smul · cited by 6invOf_two_smul_add_invOf_…QuadraticForm.polarBilin_tmul · cited by 1QuadraticForm.polarBilin_…QuadraticForm.polarBilin_baseChange · cited by 0QuadraticForm.polarBilin_…NonAssocSemiring · cited by 805NonAssocSemiringInvertible · cited by 549InvertibleInvertible.invOf · cited by 268Invertible.invOftwo_mul · cited by 232two_mulmul_invOf_self · cited by 28mul_invOf_selfinvOf_two_add_invOf_twoCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.