Theorems · Theorem · general topology
dist_mul_right
∀ {M : Type u} [inst : Mul M] [inst_1 : PseudoMetricSpace M] [IsIsometricSMul Mᵐᵒᵖ M] (a b c : M),
dist (a * c) (b * c) = dist a b- Cited by
- 5 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.opproof · cited by 520
- IsIsometricSMulstatement and proof · cited by 74
- dist_smulproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- dist_mul_mul_leproof · cited by 3
- abs_dist_sub_le_dist_mul_mulproof · cited by 1
- dist_div_eq_dist_mul_leftproof · cited by 0
- dist_div_eq_dist_mul_rightproof · cited by 0
- dist_div_rightproof · cited by 0