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Theorems · Theorem · real analysis

ENNReal.coe_inj

∀ {p q : NNReal}, ↑p = ↑q ↔ p = q
Defined in
Mathlib.Data.ENNReal.Basic
Cited by
26 results in Mathlib
Foundations
Depth 99 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.

ENNReal.ofReal_add · cited by 26ENNReal.ofReal_addENNReal.coe_eq_zero · cited by 13ENNReal.coe_eq_zeroENNReal.ofReal_inv_of_pos · cited by 11ENNReal.ofReal_inv_of_posENNReal.ofReal_rpow_of_pos · cited by 5ENNReal.ofReal_rpow_of_posENNReal.ofReal_eq_ofReal_iff · cited by 5ENNReal.ofReal_eq_ofReal_…Dilation.ratio_comp' · cited by 3Dilation.ratio_comp'volume_iUnion_setOfPred_liouvilleWith · cited by 2volume_iUnion_setOfPred_l…ENNReal.toNNReal_sum · cited by 2ENNReal.toNNReal_sumENNReal.coe_eq_one · cited by 2ENNReal.coe_eq_oneMemHolder.nnHolderNorm_smul · cited by 1MemHolder.nnHolderNorm_sm…enorm_eq_iff_norm_eq · cited by 1enorm_eq_iff_norm_eqENNReal.one_eq_coe · cited by 1ENNReal.one_eq_coeENNReal.rpow_arith_mean_le_arith_mean_rpow · cited by 1ENNReal.rpow_arith_mean_l…MeasureTheory.Measure.haar.addHaarContent_self · cited by 1haar.addHaarContent_selfENNReal.ofReal_eq_natCast · cited by 1ENNReal.ofReal_eq_natCastENNReal · cited by 9879ENNRealNNReal · cited by 4310NNRealENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealENNReal.coe_injective · cited by 2ENNReal.coe_injectiveENNReal.coe_injCITED BYCITES

Cites4

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

Cited by26

Results whose statement or proof uses this declaration.