It is permissible to base one's intention for Ihram on the intention of another

Abu Musa (Allah be pleased with him) said: I came to the Messenger of Allah ﷺ as he was encamping at Batha. He said to me: Did you intend to perform Hajj? I said: Yes. He again said: With what intention have you entered into the state of Ihram (for Ifrad, Qiran or Tamattu'). I said: I pronounced Talbiya (I have entered into the state of Ihram ) with that very aim with which the Apostle of Allah ﷺ is pronouncing Talbiya. He (the Holy Prophet) said;
You have done well. Then circumambulate the House and run between al-Safa' and al-Marwa' and put off Ihram (as you have not brought the sacrificial animals along with you). So I circumambulated the House, and ran between al-Safa' and al-Marwa' and then came to a woman of the tribe of Qais and she rid my head of the lice. I again put on Ihram for Hajj. and continued giving religious verdict (according to this practice) till during the Caliphate of Umar (Allah be pleased with him) when a person said to him: Abu Musa, or Abdullah b. Qais, exercise restraint in delivering some religious verdict of yours, for you do not know what has been introduced after you by the Commander of the Believers in the rites (of Hajj). Thereupon he said: 0 people, whom we gave the religious verdict (concerning putting off Ihram ) they should wait, for the Commander of the Believers is about to come to you, and you should follow him. Umar (Allah be pleased with him) then came and I made a mention of it to him. whereupon he said: If we abide by the Book of Allah (we find) the Book of Allah has commanded us to complete the (. Hajj and 'Umra), and if we abide by the Sunnah of Messenger of Allah ﷺ, we find that Messenger of Allah ﷺ did not put off Ihram till the sacrificial animal was brought to its end (till it was sacrificed).

حَدَّثَنَا مُحَمَّدُ بْنُ الْمُثَنَّى، وَابْنُ، بَشَّارٍ قَالَ ابْنُ الْمُثَنَّى حَدَّثَنَا مُحَمَّدُ بْنُ جَعْفَرٍ، أَخْبَرَنَا شُعْبَةُ، عَنْ قَيْسِ بْنِ مُسْلِمٍ، عَنْ طَارِقِ بْنِ شِهَابٍ، عَنْ أَبِي مُوسَى، قَالَ قَدِمْتُ عَلَى رَسُولِ اللَّهِ ﷺ وَهُوَ مُنِيخٌ بِالْبَطْحَاءِ فَقَالَ لِي " أَحَجَجْتَ " . فَقُلْتُ نَعَمْ . فَقَالَ " بِمَ أَهْلَلْتَ " . قَالَ قُلْتُ لَبَّيْكَ بِإِهْلاَلٍ كَإِهْلاَلِ النَّبِيِّ ﷺ . قَالَ " فَقَدْ أَحْسَنْتَ طُفْ بِالْبَيْتِ وَبِالصَّفَا وَالْمَرْوَةِ وَأَحِلَّ " . قَالَ فَطُفْتُ بِالْبَيْتِ وَبِالصَّفَا وَالْمَرْوَةِ ثُمَّ أَتَيْتُ امْرَأَةً مِنْ بَنِي قَيْسٍ فَفَلَتْ رَأْسِي ثُمَّ أَهْلَلْتُ بِالْحَجِّ . قَالَ فَكُنْتُ أُفْتِي بِهِ النَّاسَ حَتَّى كَانَ فِي خِلاَفَةِ عُمَرَ - رضى الله عنه - فَقَالَ لَهُ رَجُلٌ يَا أَبَا مُوسَى - أَوْ يَا عَبْدَ اللَّهِ بْنَ قَيْسٍ - رُوَيْدَكَ بَعْضَ فُتْيَاكَ فَإِنَّكَ لاَ تَدْرِي مَا أَحْدَثَ أَمِيرُ الْمُؤْمِنِينَ فِي النُّسُكِ بَعْدَكَ . فَقَالَ يَا أَيُّهَا النَّاسُ مَنْ كُنَّا أَفْتَيْنَاهُ فُتْيَا فَلْيَتَّئِدْ فَإِنَّ أَمِيرَ الْمُؤْمِنِينَ قَادِمٌ عَلَيْكُمْ فَبِهِ فَائْتَمُّوا . قَالَ فَقَدِمَ عُمَرُ - رضى الله عنه - فَذَكَرْتُ ذَلِكَ لَهُ فَقَالَ إِنْ نَأْخُذْ بِكِتَابِ اللَّهِ فَإِنَّ كِتَابَ اللَّهِ يَأْمُرُ بِالتَّمَامِ وَإِنْ نَأْخُذْ بِسُنَّةِ رَسُولِ اللَّهِ ﷺ فَإِنَّ رَسُولَ اللَّهِ ﷺ لَمْ يَحِلَّ حَتَّى بَلَغَ الْهَدْىُ مَحِلَّهُ .

This hadith has been narrated by Shu'ba with the same chain of transmitters.

وَحَدَّثَنَاهُ عُبَيْدُ اللَّهِ بْنُ مُعَاذٍ، حَدَّثَنَا أَبِي، حَدَّثَنَا شُعْبَةُ، فِي هَذَا الإِسْنَادِ نَحْوَهُ .

Abu Musa (Allah be pleased with him) reported: I came to the Messenger of Allah ﷺ and he was encamping at Batha. He (the Holy Prophet) said: With what purpose have you entered into the state of Ihram? I said: I have entered into the state of Ihram in accordance with the Ihram of Allah's Apostle ﷺ. He said: Have you brought sacrificial animals along with you? I said: No. whereupon he said: Then circumambulate the House and run between al-Safa' and al-Marwa and put off Ihram. So I circumambulated the House, ran between al-Safa' and al-Marwa, and then came to a woman of my tribe. She combed and washed my head. I used to give religious verdict (according to the above mentioned command of the Holy Prophet) during the Caliphate of Abu Bakr and also during that of 'Umar. And it was during the Hajj season that a person came to me and said: You (perhaps) do not know what the Commander of the Believers has introduced in the rites (of Hajj). I said: 0 people, those whom we have given religious verdict about a certain thing should wait, for the Commander of the Believers is about to arrive among you, so follow him. When the Commander of the Believers arrived, I said: What is this that you have introduced in the rites (of Hajj)? -where upon he said: If we abide by the Book of Allah (we find) that there Allah, Exalted and Majestic, has said: Complete Hajj and 'Umra for Allah." And if we abide by the Sunnah of our Apostle ﷺ (we find) that the Apostle of Allah ﷺ did not put off Ihram till he had sacrificed the animals.

وَحَدَّثَنَا مُحَمَّدُ بْنُ الْمُثَنَّى، حَدَّثَنَا عَبْدُ الرَّحْمَنِ، - يَعْنِي ابْنَ مَهْدِيٍّ - حَدَّثَنَا سُفْيَانُ، عَنْ قَيْسٍ، عَنْ طَارِقِ بْنِ شِهَابٍ، عَنْ أَبِي مُوسَى، - رضى الله عنه - قَالَ قَدِمْتُ عَلَى رَسُولِ اللَّهِ ﷺ وَهُوَ مُنِيخٌ بِالْبَطْحَاءِ فَقَالَ " بِمَ أَهْلَلْتَ " . قَالَ قُلْتُ أَهْلَلْتُ بِإِهْلاَلِ النَّبِيِّ ﷺ قَالَ " هَلْ سُقْتَ مِنْ هَدْىٍ " . قُلْتُ لاَ . قَالَ " فَطُفْ بِالْبَيْتِ وَبِالصَّفَا وَالْمَرْوَةِ ثُمَّ حِلَّ " . فَطُفْتُ بِالْبَيْتِ وَبِالصَّفَا وَالْمَرْوَةِ ثُمَّ أَتَيْتُ امْرَأَةً مِنْ قَوْمِي فَمَشَطَتْنِي وَغَسَلَتْ رَأْسِي فَكُنْتُ أُفْتِي النَّاسَ بِذَلِكَ فِي إِمَارَةِ أَبِي بَكْرٍ وَإِمَارَةِ عُمَرَ فَإِنِّي لَقَائِمٌ بِالْمَوْسِمِ إِذْ جَاءَنِي رَجُلٌ فَقَالَ إِنَّكَ لاَ تَدْرِي مَا أَحْدَثَ أَمِيرُ الْمُؤْمِنِينَ فِي شَأْنِ النُّسُكِ . فَقُلْتُ أَيُّهَا النَّاسُ مَنْ كُنَّا أَفْتَيْنَاهُ بِشَىْءٍ فَلْيَتَّئِدْ فَهَذَا أَمِيرُ الْمُؤْمِنِينَ قَادِمٌ عَلَيْكُمْ فَبِهِ فَائْتَمُّوا فَلَمَّا قَدِمَ قُلْتُ يَا أَمِيرَ الْمُؤْمِنِينَ مَا هَذَا الَّذِي أَحْدَثْتَ فِي شَأْنِ النُّسُكِ قَالَ إِنْ نَأْخُذْ بِكِتَابِ اللَّهِ فَإِنَّ اللَّهَ عَزَّ وَجَلَّ قَالَ { وَأَتِمُّوا الْحَجَّ وَالْعُمْرَةَ لِلَّهِ} وَإِنْ نَأْخُذْ بِسُنَّةِ نَبِيِّنَا عَلَيْهِ الصَّلاَةُ وَالسَّلاَمُ فَإِنَّ النَّبِيَّ ﷺ لَمْ يَحِلَّ حَتَّى نَحَرَ الْهَدْىَ .

Abu Musa (Allah be pleased with him) reported: The Messenger of Allah (May peace be upon im) had sent me to Yemen and I came back In the year in which he (the Holy Prophet) performed the (Farewell) Pilgrimage. Allah's Messenger (may peace be upon, him) said to me: Abu Musa, what did you ' say when you entered into the state of Ihram? I said: At thy beck and call;
my (Ihram) is that of the Ihram of Allah's Apostle ﷺ. He said: Have you brought the sacrificial animals? I said: No. Thereupon he said: Go and circumambulate the House, and (run) between al-Safa' and al-Marwa and then put off Ihram. The rest of the hadith is the same.

وَحَدَّثَنِي إِسْحَاقُ بْنُ مَنْصُورٍ، وَعَبْدُ بْنُ حُمَيْدٍ، قَالاَ أَخْبَرَنَا جَعْفَرُ بْنُ عَوْنٍ، أَخْبَرَنَا أَبُو عُمَيْسٍ، عَنْ قَيْسِ بْنِ مُسْلِمٍ، عَنْ طَارِقِ بْنِ شِهَابٍ، عَنْ أَبِي مُوسَى، - رضى الله عنه - قَالَ كَانَ رَسُولُ اللَّهِ ﷺ بَعَثَنِي إِلَى الْيَمَنِ قَالَ فَوَافَقْتُهُ فِي الْعَامِ الَّذِي حَجَّ فِيهِ فَقَالَ لِي رَسُولُ اللَّهِ ﷺ " يَا أَبَا مُوسَى كَيْفَ قُلْتَ حِينَ أَحْرَمْتَ " . قَالَ قُلْتُ لَبَّيْكَ إِهْلاَلاً كَإِهْلاَلِ النَّبِيِّ ﷺ . فَقَالَ " هَلْ سُقْتَ هَدْيًا " . فَقُلْتُ لاَ . قَالَ " فَانْطَلِقْ فَطُفْ بِالْبَيْتِ وَبَيْنَ الصَّفَا وَالْمَرْوَةِ . ثُمَّ أَحِلَّ " . ثُمَّ سَاقَ الْحَدِيثَ بِمِثْلِ حَدِيثِ شُعْبَةَ وَسُفْيَانَ .