Theorems · Theorem · general topology
nndist_div_left
∀ {G : Type v} [inst : Group G] [inst_1 : PseudoMetricSpace G] [IsIsometricSMul G G] [IsIsometricSMul Gᵐᵒᵖ G]
(a b c : G), nndist (a / b) (a / c) = nndist b c- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- NNRealstatement · cited by 4,310
- PseudoMetricSpacestatement and proof · cited by 1,550
- MulOppositestatement and proof · cited by 1,135
- div_eq_mul_invproof · cited by 715
- NNDist.nndiststatement and proof · cited by 235
- IsIsometricSMulstatement and proof · cited by 74
- nndist_inv_invproof · cited by 1
- nndist_mul_leftproof · cited by 1
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