Theorems · Theorem · real analysis
NNReal.agm_mul_distrib
∀ {x y k : NNReal}, (k * x).agm (k * y) = k * x.agm yThe AGM distributes over multiplication.
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- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- NNRealstatement and proof · cited by 4,310
- iInfproof · cited by 1,690
- mul_addproof · cited by 413
- sqproof · cited by 280
- mul_div_assocproof · cited by 149
- InfSetproof · cited by 145
- NNReal.sqrtproof · cited by 91
- mul_mul_mul_commproof · cited by 65
- NNReal.agmSequencesproof · cited by 25
- NNReal.agmstatement · cited by 20
- NNReal.sqrt_sqproof · cited by 7
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