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Theorems · Theorem · general topology

isometry_mul_right

∀ {M : Type u} [inst : Mul M] [inst_1 : PseudoEMetricSpace M] [IsIsometricSMul Mᵐᵒᵖ M] (a : M), Isometry fun x => x * a
Defined in
Mathlib.Topology.MetricSpace.IsometricSMul
Cited by
2 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MulPseudoEMetricSpaceIsIsometricSMul
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Around this declaration

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

edist_mul_right · cited by 2edist_mul_rightediam_mul_le · cited by 0ediam_mul_lePseudoEMetricSpace · cited by 1536PseudoEMetricSpaceMulOpposite · cited by 1135MulOppositeMulOpposite.op · cited by 520MulOpposite.opIsometry · cited by 230IsometryIsIsometricSMul · cited by 74IsIsometricSMulIsIsometricSMul.isometry_smul · cited by 10IsIsometricSMul.isometry_…isometry_mul_rightCITED BYCITES

Cites6

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.