Mathlib Map

Theorems · Definition · complex analysis

Complex.UnitClosedDisc.coe

Complex.UnitClosedDisc → ℂ

Coercion to ℂ.

Defined in
Mathlib.Analysis.Complex.UnitDisc.Basic
Cited by
26 results in Mathlib
Foundations
Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Complex.UnitClosedDisc.norm_le_one · cited by 4UnitClosedDisc.norm_le_oneComplex.UnitClosedDisc.re · cited by 4UnitClosedDisc.reComplex.UnitClosedDisc.im · cited by 4UnitClosedDisc.imComplex.UnitClosedDisc.coe_injective · cited by 3UnitClosedDisc.coe_inject…Complex.UnitClosedDisc.isEmbedding_coe · cited by 2UnitClosedDisc.isEmbeddin…Complex.UnitClosedDisc.casesOn · cited by 1UnitClosedDisc.casesOnComplex.UnitClosedDisc.sq_norm_lt_one · cited by 1UnitClosedDisc.sq_norm_lt…Complex.UnitClosedDisc.coe_closedBall_smul · cited by 1UnitClosedDisc.coe_closed…Complex.UnitClosedDisc.coe_one · cited by 1UnitClosedDisc.coe_oneComplex.UnitClosedDisc.coe_zero · cited by 1UnitClosedDisc.coe_zeroComplex.UnitClosedDisc.continuous_coe · cited by 1UnitClosedDisc.continuous…Complex.UnitClosedDisc.mk_coe · cited by 0UnitClosedDisc.mk_coeComplex.UnitClosedDisc.normSq_lt_one · cited by 0UnitClosedDisc.normSq_lt_…Complex.UnitClosedDisc.re_coe · cited by 0UnitClosedDisc.re_coeComplex.UnitClosedDisc.coe_circle_smul · cited by 0UnitClosedDisc.coe_circle…Complex · cited by 5565ComplexComplex.UnitClosedDisc · cited by 42Complex.UnitClosedDiscUnitClosedDisc.coeCITED BYCITES

Cites2

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

Cited by29

Results whose statement or proof uses this declaration.