Tackling an investigative agenda whose object is the judicial posture regarding gender-based inequalities, this dissertation reports itself to the following question: on what grounds has the Brazilian Supreme Federal Court recognized LGBTI+ rights? In this sense, the project's main objective is to understand what arguments have provoked favorable decisions to gender and sexual minorities in lawsuits before the Brazilian constitutional jurisdiction. As specific objectives, we intend to: (i) systematically revise the literature from the last twenty years; (ii) collect and organize the Supreme Court's decisions recognizing LGBTI+ rights; and (iii) analyze the content of the selected opinions by categorizing their reasoning. Theoretically, the research organizes Michel Foucault's concept of power and Judith Butler's propositions on framing to comprehend how law and reality mutually constrain one another, as well as to interpret the lawsuits as arenas of semantic disputes that may dismantle or enhance precarity scenarios. In methodological terms, the investigation is empirical and its main data collection tools are the literature review and the documental research. In this context, we adapt Okoli's (2015) procedural model to conduct a systematic literature review over the 2000-2020 period. This review reinforced evidences we detected during protocol writing: the publications' low methodological transparency hinders the application of more rigorous organization criteria, and the Brazilian studies on the issue are refractory to other pertinent works, either local or foreign. When it comes to content, we divide the publications' arguments into two categories. The first one highlights a critique to the prevalence of liberty, privacy and categorization in the Courts' reasoning, as they have recognized rights based on rigid existential concepts and on the constriction of gender dissidences to tutored or hidden social spaces. On the second category, the texts denounce the use of dominant moral precepts, such as respectability, and of cisheteronormative structures, like marriage, as requirements to the formal declaration of rights. Afterwards, we conduct a content analysis of the selected opinions, connecting tools from Bardin's (2004) category analysis to certain premises from Discourse Analysis and Critical Discourse Analysis. In a first substep, we divided the opinions into register units and codified them through individual forms and nine categories based on the literature review. Then, we compiled and analyzed the data through the software Statistica 8.0 by applying the Friedman Test, which allowed us to correlate information groups and verify the relevance degree of each code inside the sample. From the analysis, it is possible to extract a prevalence of the categories "prohibition of prejudice", "liberty", "dignity" and "equality" in the Justices' opinions, as they constantly used these codes to question discriminatory gender frames. This indicates a certain discrepancy between the literature review and case results b...